{"total":82,"items":[{"citing_arxiv_id":"2606.21494","ref_index":4,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Non-relativistic limits of $\\mathcal N=4$ supersymmetric Yang-Mills theory and S-duality","primary_cat":"hep-th","submitted_at":"2026-06-19T14:42:54+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Constructs a family of non-relativistic limits of 4d MSYM via brane setups that organize into a 3D moduli space with nontrivial topology where PSL(2,Z) dualities act more complexly than in the relativistic theory, establishing Abelian duality by path integral and supporting non-Abelian case via spec","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.07432","ref_index":26,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Defects in skein theory and TQFT","primary_cat":"math.QA","submitted_at":"2026-06-05T16:29:08+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Defines defect skein modules for 3-manifolds with line and point defects and proves they match state spaces of defect Reshetikhin-Turaev TQFT for semisimple data.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.03619","ref_index":14,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"The Polymorphic Chiral Anomaly","primary_cat":"hep-ph","submitted_at":"2026-06-02T13:20:15+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"Derives a generic chiral anomaly formula incorporating multiple Feynman diagrams, from which abelian, singlet, consistent, and covariant forms follow, with topological discussion and FeynCalc code.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.31602","ref_index":20,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Twin Algebras: Condensable Algebras beyond Anyons","primary_cat":"cond-mat.str-el","submitted_at":"2026-05-29T17:59:38+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Twin condensable algebras are introduced as condensable algebras with identical anyon decompositions but inequivalent algebra structures, yielding distinct symmetric phases in group-theoretical topological orders.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.29109","ref_index":23,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"First steps towards gauge-independent vortex identification through machine learning","primary_cat":"hep-lat","submitted_at":"2026-05-27T21:17:35+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"A neural network trained on 2D SU(2) lattices with inserted thin Z2 vortices, after random gauge transformations, noise, and cooling, can locate center vortices at moderate visibility levels and scales via tiling.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.28688","ref_index":44,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Topological lattice gauge theory enriched by non-invertible symmetry","primary_cat":"cond-mat.str-el","submitted_at":"2026-05-27T16:17:28+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Condensing an arbitrary algebra of charges in a quantum double model yields a hypergroup-graded extension of the deconfined excitations category whose domain walls act non-invertibly via a Hopf monad.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.28485","ref_index":1,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Hilbert Space and Defect Hilbert Spaces Associated with Categorical Symmetries","primary_cat":"hep-th","submitted_at":"2026-05-27T13:42:18+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"A quantum mechanical framework is given for Hilbert and defect spaces of line operators in BF+kCS TQFT, with line operator action realized by convolution kernels and matches to Verlinde and semiclassical Hopf-link data.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.27870","ref_index":86,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Revisiting boundary electromagnetic duality and edge modes","primary_cat":"hep-th","submitted_at":"2026-05-27T02:38:39+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"In 4D Maxwell theory, standard Neumann/Dirichlet boundary conditions render large gauge transformations and edge mode shifts as gauge redundancies, while modified conditions make them physical symmetries generated by topological surface operators, with new electromagnetic dual boundary conditions co","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.23047","ref_index":65,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"On Thermodynamics of Charged Black Holes, Swampland, and Dark Matter","primary_cat":"hep-th","submitted_at":"2026-05-21T21:26:52+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.21755","ref_index":1,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Universalities of Defects in Quantum Field Theories","primary_cat":"hep-th","submitted_at":"2026-05-20T21:30:07+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"While defects are rich subjects of study in their own right, they also serve as powerful tools to understand the quantum field theories in which they are embedded. In particular, we note that certain defects can be continuously deformed without affecting any physical observables. These are topological defects, which generalize the very notion of symmetry in modern physics [1, 2]. This perspective has shed new light on many profound phenomena in quantum field theories, and we will apply it extensively throughout this dissertation. 1.1 Outline The chapters of this dissertation are devoted to different themes. Below, we outline the main topics covered by each chapter and summarize the key results. In Chapter 2, we discuss Renormalization Group (RG) flows governing the evolution of"},{"citing_arxiv_id":"2605.20688","ref_index":2,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Fusion of Integrable Defects and the Defect $g$-Function","primary_cat":"hep-th","submitted_at":"2026-05-20T04:34:22+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.19925","ref_index":27,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Stringy T-duality on the lattice and the twisted Villain model","primary_cat":"hep-th","submitted_at":"2026-05-19T14:47:50+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Introduces the twisted Villain model to realize exact T-duality on the lattice for fibred manifolds, recovering bundle-flux exchange and defining topological defects via half-gauging.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.19363","ref_index":1,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Non-invertible Symmetries in Weyl Fermions, and Applications to Fermion-Boundary Scattering Problem","primary_cat":"hep-th","submitted_at":"2026-05-19T04:54:07+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Constructs a family of non-invertible topological defects in n Weyl fermion theories via unfolding of G-symmetric boundary conditions for Dirac fermions, with explicit descriptions for U(1)^n and applications to fermion-boundary scattering.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.16482","ref_index":1,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"When Symmetries Twist: Anomaly Inflow on Monodromy Defects","primary_cat":"hep-th","submitted_at":"2026-05-15T18:00:00+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Alternatively, it is sourced by a localizedG-flux (fractional, in the discrete case). 1 Introduction The space of defects in a quantum system has been the subject of intense recent study: defects arise naturally as impurities in condensed-matter setups, and serve as probes of strongly coupled bulk dy- namics. Topological defects in particular - i.e. symmetries [1] - have led to a wealth of constraints on the long-distance physics, and their classification across dimensions has reached an increasing degree of maturity. Central to these developments is the notion of a 't Hooft anomaly: an obstruction to a trivial realization of the symmetry. Much less is known about dynamical defects, which are ubiquitous in critical setups."},{"citing_arxiv_id":"2605.16188","ref_index":1,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Non-Invertible Symmetries in Compactified Supergravities","primary_cat":"hep-th","submitted_at":"2026-05-15T17:07:08+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Non-invertible symmetry defects from 11D supergravity descend to Type IIA, splitting the Bianchi sector into invertible H[3] and twisted non-invertible F[4] parts with a BF-type auxiliary sector.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.13975","ref_index":36,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Protected operators in non-local defect CFTs from AdS","primary_cat":"hep-th","submitted_at":"2026-05-13T18:00:12+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Defect-induced symmetry breaking viewed from the AdS bulk enforces protected displacement and tilt operators in non-local boundary CFTs via Ward identities.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"of settings, from weakly coupled constructions to strongly interacting gauge theories in AdS. In particular, the appearance of displacement operators for Wilson line defects provides a nontrivial consistency check of the general picture of confinement in AdS [21, 22, 60, 78, 91, 92]. - 21 - This work focused only on continuous internal 0-form symmetries, which constitute a special class of generalized symmetries [36]. Our results provide an example in which spontaneous symmetry breaking in AdS gives rise to Goldstone modes with masses of order O(1/RAdS), rather than exactly massless excitations. In recent years, Goldstone mechanisms associated with generalized symmetries have been extensively studied, primarily in flat space [36, 93-103]. Extending these ideas to AdS would be an interesting direction for future work."},{"citing_arxiv_id":"2605.13791","ref_index":36,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Universal Confining Strings: From Compact QED to the Hadron Spectrum","primary_cat":"hep-th","submitted_at":"2026-05-13T17:11:29+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Compact QED in the dyon phase maps to a massive two-form field whose IR fixed-point string theory reproduces a generalized Arvis potential and matches heaviest quarkonium mass ratios to 2.5 percent while raising the Regge intercept above the Nambu-Goto value.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.12594","ref_index":48,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"String probes, simple currents, and the no global symmetries conjecture","primary_cat":"hep-th","submitted_at":"2026-05-12T18:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Chiral simple current extensions on the worldsheet reproduce and generalize obstructions to gauging center one-form symmetries in 6d and 8d string compactifications while clarifying BPS particle requirements upon circle reduction.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Texts in Contemporary Physics. Springer-Verlag, New York, 1997, 10.1007/978-1-4612-2256-9. [46] I. V. Melnikov,An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry, vol. 951 ofLecture Notes in Physics. Springer, 2019, 10.1007/978-3-030-05085-6. [47] A. Kapustin and N. Seiberg,Coupling a QFT to a TQFT and Duality,JHEP04 (2014) 001, [1401.0740]. [48] D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett,Generalized Global Symmetries, JHEP02(2015) 172, [1412.5148]. [49] D. Harlow and H. Ooguri,Symmetries in quantum field theory and quantum gravity, Commun. Math. Phys.383(2021) 1669-1804, [1810.05338]. [50] O. Aharony, N. Seiberg and Y. Tachikawa,Reading between the lines of four-dimensional gauge theories,JHEP08(2013) 115, [1305."},{"citing_arxiv_id":"2605.12488","ref_index":37,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Anomalies in Neural Network Field Theory","primary_cat":"hep-th","submitted_at":"2026-05-12T17:59:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Derives Schwinger-Dyson equations and Ward identities in NN-FT to study anomalies in QFTs via a conserved parameter-space current, yielding a new perspective on symmetries.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"The charge measured on a closed one-cycleγis W(γ) = Z γ j(1) w = 1 2π I γ dχ∈Z.(5.75) The corresponding symmetry operator is Uα(γ) = exp \u0012 iα Z γ j(1) w \u0013 = exp \u0012 iα 2π I γ dχ \u0013 , α∼α+ 2π .(5.76) This is the structure of a q = d− 2 form global symmetry: the symmetry operators are supported on closed one-cycles, and the charged objects are ( d−2)-dimensional defects [37]. Although we now turn to the specific example of vortex defects and the NN-FT realization of their higher-form symmetries, we refer the reader to [38 -43] for pedagogical introductions to various aspects of generalized global symmetries. Vortex sectors and the linking NN-FT Ward identity:A vortex defect of charge m∈Z , supported on an oriented codimension two submanifold Σ d−2, is charged under U(1)w."},{"citing_arxiv_id":"2605.11065","ref_index":18,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"CMB Birefringence from Vacuum Interfaces","primary_cat":"hep-th","submitted_at":"2026-05-11T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"CMB polarization rotation emerges as a Pancharatnam phase localized at dark sector vacuum interfaces, independent of redshift, frequency, and the presence of light axions.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"Photons propagating entirely within a single vacuum experience no rotation. The resulting phase change could be interpreted as a holonomy in polarization space arising from interface-induced matching of electromagnetic polarization states across an in- terface separating topologically distinct dark-sector vacua. The structure of the interface is constrained by an emergent 1-form symmetry [ 18], which protects the allowed phase jump and renders it insensitive to local details of the interpolation between vacua [ 19, 20]. Con- sequently, in the absence of adiabatically varying light axions, polarization rotation occurs only at localized vacuum interfaces, and its magnitude is determined by global topological data rather than by local dynamics or the cosmological history between crossings."},{"citing_arxiv_id":"2605.10695","ref_index":13,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"A Simplicial Approach to Higher Geometric Quantization","primary_cat":"math-ph","submitted_at":"2026-05-11T15:10:50+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"A simplicial set sOb_bullet(M) of Hamiltonian forms in n-plectic geometry is shown to be a Kan complex, supplying an n-groupoid model for observables and a categorified pre-n-Hilbert space via recursive inner products.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"1, this higher Heisenberg algebra naturally underlies the definition of the semi-simplicial setsOb •(M). 13 4 Geometric constructions of observable algebras γ α β (M, ω) (M, ω) Figure 1: A defectγin the worldvolume. When an observableαcrosses the defect, it transforms intoβ=l 2(α, γ). 4.1 Observables as defectsSimilar to the framework of generalized global sym- metries [13] and higher charges [5, 6, 7], where symmetries and charges are realized as topological defects and their action corresponds to a charge crossing a defect, we adopt an analogous picture. In our setting,k-form Hamiltonian observables are interpreted ask-dimensional defects. Under orientation reversal, the Hamiltonian associated with a manifold changes sign - a property that will be relevant when considering defect orienta-"},{"citing_arxiv_id":"2605.10416","ref_index":36,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Infrared spectra of some strongly--coupled chiral gauge theories","primary_cat":"hep-th","submitted_at":"2026-05-11T11:54:06+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Analyses of specific chiral gauge theories using generalized symmetries and anomaly matching yield rich infrared effective theories, RG flows, and light spectra.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Seiberg, \"Modifying the Sum Over Topological Sectors and Constraints on Supergrav- ity\", JHEP07, 070 (2010) [arXiv:1005.0002 [hep-th]]. [34] A. Kapustin and N. Seiberg, \"Coupling a QFT to a TQFT and Duality\", JHEP04, 001 (2014) [arXiv:1401.0740 [hep-th]]. [35] O. Aharony, N. Seiberg and Y. Tachikawa, \"Reading between the lines of four-dimensional gauge theories\", JHEP08, 115 (2013) [arXiv:1305.0318 [hep-th]]. [36] D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, \"Generalized Global Symmetries\", JHEP1502, 172 (2015) [arXiv:1412.5148 [hep-th]]. [37] D. Gaiotto, A. Kapustin, Z. Komargodski and N. Seiberg, \"Theta, Time Reversal, and Temperature\", JHEP1705, 091 (2017) [arXiv:1703.00501 [hep-th]]. [38] H. Shimizu and K. Yonekura, \"Anomaly constraints on deconfinement and chiral phase"},{"citing_arxiv_id":"2605.09868","ref_index":2,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Double fibration in G-theory and the cobordism conjecture","primary_cat":"hep-th","submitted_at":"2026-05-11T01:51:16+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"In G-theory motivated Type IIB compactifications with varying fields, End of the World branes trivialize a cohomology class and additional non-perturbative objects are required to cancel the bordism group while retaining the class as a subgroup.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"\u0001 ∼= ΩSpin 6 B(SL(2,Z)×SL(2,Z)) \u0001 (2) ⊕(Z 3)3.(B.16) That is, the odd-primary component is completely determined and is given by(Z 3)3, whereas the 2-primary component is reduced to a finite extension problem of total order16. References [1] T. Banks and N. Seiberg,Symmetries and Strings in Field Theory and Gravity,Phys. Rev. D83(2011) 084019 [1011.5120]. [2] D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett,Generalized Global Symmetries,JHEP02(2015) 172 [1412.5148]. [3] D. Harlow and H. Ooguri,Symmetries in quantum field theory and quantum gravity,Commun. Math. Phys.383(2021) 1669 [1810.05338]. [4] E. Sharpe,Notes on generalized global symmetries in QFT,Fortsch. Phys.63(2015) 659 [1508.04770]. [5] V ."},{"citing_arxiv_id":"2605.07734","ref_index":42,"ref_count":4,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","primary_cat":"hep-th","submitted_at":"2026-05-08T13:41:03+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":2,"top_context_role":"background","top_context_polarity":"background","context_text":"Verstraete,Anyons and matrix product operator algebras,Annals Phys. 378(2017) 183-233, arXiv:1511.08090 [cond-mat.str-el]. [41] R. Vanhove, M. Bal, D. J. Williamson, N. Bultinck, J. Haegeman, and F. Verstraete,Mapping topological to conformal field theories through strange correlators, Phys. Rev. Lett.121(2018) 177203, arXiv:1801.05959 [quant-ph]. [42] K. Inamura,Topological field theories and symmetry protected topological phases with fusion category symmetries,Journal of High Energy Physics2021 (May, 2021) . [43] L. Lootens, C. Delcamp, G. Ortiz, and F. Verstraete, Dualities in One-Dimensional Quantum Lattice Models: Symmetric Hamiltonians and Matrix Product Operator Intertwiners,PRX Quantum4(2023)"},{"citing_arxiv_id":"2605.06793","ref_index":23,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Sharpened Dynamical Cobordism","primary_cat":"hep-th","submitted_at":"2026-05-07T18:00:34+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Sharpened Dynamical Cobordism ties the allowed range of critical exponent δ to theory structure ξ, flagging obstructions from non-trivial cobordism charges that require new degrees of freedom.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"cohomological theory, whereas in the physics literature, the termcobordismis more common. In this paper, we will use both terms referring to the homological theory, reserving the use of bordism for the more formal aspects while keeping the term cobordism when discussing swampland-related aspects, in accordance with the naming of the relevant conjectures. 3 generalized symmetries, see e.g., [23, 24], a non-vanishing cobordism groupΩξ k ̸= 0for ad-dimensional theory leads to a global(d−k−1)-form symmetry. In view of the conjectured absence of global symmetries in quantum gravity [25], it was proposed in [22] that the bordism groups of quantum gravityΩQG k should all vanish, fork≤d. The key point here is thequantum gravity structure, which is currently unknown."},{"citing_arxiv_id":"2605.06287","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Half-Spacetime Gauging of 2-Group Symmetry in 3d","primary_cat":"hep-th","submitted_at":"2026-05-07T13:56:33+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"2 A Topological Theory with Controlled Gauge Variance 31 D.3 Derivation of the Non-Invertible Fusion Rules 32 D.3.1 Fusion ofN B1 andN B2 32 D.3.2 Fusion ofN B andD ˆA 33 - 1 - 1 Introduction The modern description of a global symmetry involves specifying its conserved charges, or symmetry operators, rather than realizing it by Lagrangians and fields [1]. See [2-4] for a selection of reviews on this vast and ever-growing topic. Aq-form symmetry is implemented by a codimension-(q+ 1) topological defect. If the fusion of two topological defects follows a group-like structure, the corresponding symmetry is invertible. However, as it has been known for many years in the context of 2d rational CFTs [5-7], this does not need to be"},{"citing_arxiv_id":"2605.02883","ref_index":37,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"de Sitter Vacua & pUniverses","primary_cat":"hep-th","submitted_at":"2026-05-04T17:52:17+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"The p-Schwinger model on de Sitter space supports p distinct de Sitter-invariant vacua that are Hadamard, and coupling a multi-flavor version to gravity yields a semiclassical de Sitter saddle at large N_f.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"p 1-form global symmetry, acting on the Wilson lines as Z(1) p : ˆWj[C]→e 2πij p ˆWj[C] (3.1.11) As it turns out, as a consequence of the chiral anomaly (3.1.4), theZ (0) p chiral symmetry and the Z(1) p 1-form symmetry participate in aZ p-valued mixed 't Hooft anomaly. This anomaly is of the same type as the one described by (2.1.6) for the BF theory in the previous section. From the perspective of [37], the global symmetries described above imply the existence of a discrete set of topological operators. TheZ (0) p chiral symmetry will be implemented by topological-line operators ˆLn[C],n∈0,1, . . . p−1, extended over a closed curveC, while theZ (1) p 1-form symmetry will be generated by topological-local operators that we denote by ˆUm(x),m∈0,1, ."},{"citing_arxiv_id":"2604.25999","ref_index":3,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Lattice Topological Defects in Non-Unitary Conformal Field Theories","primary_cat":"hep-th","submitted_at":"2026-04-28T18:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Lattice realizations of topological defects in non-unitary 2D CFTs are built from modified RSOS models, yielding numerical results that match analytical predictions for spectra and RG flows.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Combining the two above observations, we can simply summarize that for 2≤k ′ ≤k+ 1, RSOS(k ′, k+ 2) flows to M(k+ 2, k ′) minimal model CFT, whenk ′ andk+ 2 are co-prime. [1] V. B. Petkova and J. B. Zuber, Phys. Lett. B504, 157 (2001), arXiv:hep-th/0011021. [2] J. Fr¨ ohlich, J. Fuchs, I. Runkel, and C. Schweigert, Phys. Rev. Lett.93, 070601 (2004). [3] D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, JHEP02, 172, arXiv:1412.5148 [hep-th]. [4] C. Cordova, T. T. Dumitrescu, K. Intriligator, and S.-H. Shao, inSnowmass 2021(2022) arXiv:2205.09545 [hep- th]. [5] N. Seiberg and S.-H. Shao, SciPost Phys.16, 064 (2024), arXiv:2307.02534 [cond-mat.str-el]. [6] S. Schafer-Nameki, Phys. Rept.1063, 1 (2024),"},{"citing_arxiv_id":"2604.25821","ref_index":124,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Categorical Symmetries via Operator Algebras","primary_cat":"hep-th","submitted_at":"2026-04-28T16:30:42+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"The symmetry category of a 2D QFT with G-symmetry and anomaly k equals the twisted Hilbert space category Hilb^k(G), whose Drinfeld center is the twisted representation category of the conjugation groupoid C*-algebra, enabling braiding computations in the 3D SymTFT.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"6857. [121] L. Bhardwaj and Y. Tachikawa,On finite symmetries and their gauging in two dimensions, JHEP03(2018) 189 [1704.02330]. [122] Y. Tachikawa,On gauging finite subgroups,SciPost Phys.8(2020) 015 [1712.09542]. [123] J.C. Baez and J. Dolan,Higher dimensional algebra and topological quantum field theory,J. Math. Phys.36(1995) 6073 [q-alg/9503002]. [124] J.C. Baez, A. Baratin, L. Freidel and D.K. Wise,Infinite-Dimensional Representations of 2-Groups, vol. 1032 (2012), 10.1090/S0065-9266-2012-00652-6, [0812.4969]. [125] D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett,Generalized Global Symmetries,JHEP 02(2015) 172 [1412.5148]. [126] C. Córdova, T.T. Dumitrescu and K. Intriligator,Exploring 2-Group Global Symmetries,"},{"citing_arxiv_id":"2604.25820","ref_index":12,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Candidate Gaugings of Categorical Continuous Symmetry","primary_cat":"hep-th","submitted_at":"2026-04-28T16:28:19+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Candidate modular invariants and gaugings for continuous G-symmetries with anomaly k are obtained from +1 eigenspaces of semiclassical modular kernels in a BF+kCS SymTFT model.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"(TQFT) [10, 11]. Therefore, one is able to study the somewhat abstract algebraic data of MTC through the lens of TQFT, and it would be desirable to understand the classification of the phases of matter via concrete field-theoretical constructions. It has proven fruitful to view a quantum systemTwith (generalized) globalG- symmetry and 't Hooft anomalyk[12] as living on the boundary of a bulk in one-higher dimension [13-17]. The symmetry ofT, its anomaly and various gaugings and phases of the symmetry are then encoded in thesymmetry topological field theory(SymTFT) living in the bulk [16, 18, 19]. Furthermore, it has been demonstrated that for finite groupG the SymTFT, as an MTC, is equivalent to theDrinfeld centerZ(C k(G)) of thesymmetry"},{"citing_arxiv_id":"2604.22656","ref_index":3,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory","primary_cat":"hep-th","submitted_at":"2026-04-24T15:30:39+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Refines charge quantization via homotopy type A whose homotopy groups classify brane charges and homology groups classify higher-form symmetries, deriving swampland-like constraints that rule out noncompact gauge groups and non-nilpotent Lie algebras for field strengths.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.21980","ref_index":11,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"D-branes and fractional instantons on a twisted four torus: the moduli space as an N=2 supersymmetric Higgs branch","primary_cat":"hep-th","submitted_at":"2026-04-23T18:00:28+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Somewhat later, a seemingly unrelated-at the time (see the last paragraph in this Section)-development was inspired by the work of Ünsal from 2007 [9, 10]. He showed that objects of fractional topological charge were behind semiclassical confinement and chiral symmetry breaking onR3 ×S 1. The fractionally-charged objects are the so-called \"monopole- instantons;\" see the review [11] for an extensive list of references. The more recent interest in the subject was driven by the improved understanding of generalized symmetries and especially of their anomalies, emerging after [12, 13]. The con- nection to the old picture is that 't Hooft twists [1] are now seen as a topological background of the2-formZ N gauge field gauging theZ (1)"},{"citing_arxiv_id":"2604.20201","ref_index":20,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Symmetry breaking phases and transitions in an Ising fusion category lattice model","primary_cat":"cond-mat.str-el","submitted_at":"2026-04-22T05:36:23+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"The Ising fusion category lattice model features a symmetric critical phase equivalent to the Ising model, a categorical ferromagnetic phase with threefold degeneracy, and a critical categorical antiferromagnetic phase with fourfold degeneracy described by an Ising CFT.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"The transition between the CatFM and symmetric Ising CFT phases was known long ago to be the tri- critical Ising transition[19], although it was not de- scribed in the language of categorical symmetry break- ing. In particular, the CatFM phase was known as the phase coexistence of the paramagnetic and ferromag- netic states. More recent related studies can be found in Refs. [20, 21, 71-74]. It is worth noting some mi- nor differences between our model and those studied in previous works: (1) our model does not have a tensor product structure, whereas the previous works are formu- lated in the context of spin chains, interacting Majorana fermions, or in continuum field theory; and (2) in these works,C Ising is realized as the usual Kramers-Wannier"},{"citing_arxiv_id":"2604.19861","ref_index":38,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Excitability in quantum field theory","primary_cat":"hep-th","submitted_at":"2026-04-21T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"For zero-mean Gaussian states in generalized free field theories, one-way local excitability always implies two-way excitability, generalizing the quasiequivalence theorems of Powers, Stormer, van Daele, Araki, and Yamagami.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.18702","ref_index":6,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Confinement in a finite duality cascade","primary_cat":"hep-th","submitted_at":"2026-04-20T18:02:02+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"there is a finite number of such degenerate vacua [4], and when spacetime is divided into regions where the theory is in different vacua, there are domain walls between such regions. Such domain walls preserve half of the supersymmetries [5], and must also carry non-trivial 2 topological degrees of freedom to match a mixed 't Hooft anomaly between the discrete axial symmetry and the 1-form symmetry of the gauge sector [6]. All the above expectations are beyond reach with ordinary perturbative techniques in quantum field theory, since they relate to the very low-energy properties of the gauge theories, where their coupling has grown to non-perturbative values. Common approaches to address strongly coupled dynamics are to formulate the theories on a spacetime lattice [1], or to use"},{"citing_arxiv_id":"2604.15424","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"SymTFT in Superspace","primary_cat":"hep-th","submitted_at":"2026-04-16T18:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A supersymmetric SymTFT (SuSymTFT) is constructed as a super-BF theory on (n|m)-dimensional supermanifolds and verified for compact and chiral super-bosons in two dimensions.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"5 Outlook 19 A Picture Changing Operators: A primer 21 B TheSM (2|2) supermanifold 22 C Mixed anomaly for the compact boson: The details 23 D Supersymmetry with boundary 24 2 1 Introduction The modern notion of symmetry in Quantum Field Theory (QFT) goes well beyond ordinary unitary group-like operators acting on local operators. The seminal paper [1] hasledtoatruerevolutioninourunderstandingofsymmetries: SymmetriesofQFTshave been naturally associated to topological defects, allowing for a vast generalization of their notion, including higher-form symmetries, non-invertible symmetries and, more generally, categorical (non-group-like) structures. For recent reviews on these developments cfr. [2-7]."},{"citing_arxiv_id":"2604.15117","ref_index":13,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Monodromy Defects for Electric-Magnetic Duality, Hyperbolic Space, and Lines","primary_cat":"hep-th","submitted_at":"2026-04-16T15:06:40+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Monodromy defects in Maxwell theory are analyzed via mapping to hyperbolic space, recovering the defect primary spectrum and showing that Wilson/'t Hooft lines terminate on defects, become decomposable, and follow Chern-Simons topological behavior.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"For a generic value ofτthe transformation changes the coupling, S:τ→ −1/τ,(1.1) and so is indeed a duality between two theories at different couplings. However, at the special valueτ=ithe theory at hand is left invariant, so the duality turns into a symmetry. The modern point of view on the symmetries of quantum systems suggests that symmetries are associated with topological operators [13]. Correspondingly, the electric-magnetic duality transformation can be implemented as a topological interface of the form [14-16] e i 2π R Σ Ad ˜A.(1.2) This is a Chern-Simons-like interaction that couples the guage fields on both sides of the interface, and Σ is a three-manifold supporting the interface. As was shown in [17, 18], we can construct a topological interface for anyτ=iN,"},{"citing_arxiv_id":"2604.14275","ref_index":2,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Generalized Complexity Distances and Non-Invertible Symmetries","primary_cat":"hep-th","submitted_at":"2026-04-15T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Non-invertible symmetries define quantum gates with generalized complexity distances, and simple objects in symmetry categories turn out to be computationally complex in concrete 4D and 2D QFT examples.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"In the quantum setting, symmetry is commonly phrased in terms of a suitable unitary representation of a group [1]. This representation acts on the states of the quantum system, leading to non-trivial selection rules. Recent developments in quantum field theory have established that there are deep topo- logical structures connected with symmetries [2]. Perhaps surprisingly, such symmetries can relax the standard group multiplication law. An example of this sort are non-invertible symmetries, with fusion rule: XiXj = X k N k ijXk.(1.1) Here, theX a denote non-invertible symmetry operators; they can be viewed as the path integral of a topological quantum field theory. The fusion coefficientsN k ij can also be inter-"},{"citing_arxiv_id":"2604.12907","ref_index":42,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Hilbert Space Fragmentation from Generalized Symmetries","primary_cat":"hep-lat","submitted_at":"2026-04-14T15:57:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Generalized symmetries generate exponentially many Krylov sectors in quantum many-body systems, showing that Hilbert space fragmentation does not by itself imply ergodicity breaking.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"possible for them to exhibit exponentially many super- selection sectors [27, 81]. The fact that the dimension of the largest superselection sector typically grows expo- nentially slower than that of the product Hilbert space [11, 82, 83] implies that fragmentation from gauge sym- metry is typically strong. The second class of symmetries that fulfill Proposition I is higher-form symmetries [42, 43]. The generator of a p-form symmetry has support on a (d−p)-dimensional submanifold of the lattice, wheredis the spatial dimen- sion of the system. Higher-form symmetries are topo- logical, meaning they become invariant under deforma- tions in at least one superselection sector. Higher-form symmetries that are not topological are called subsystem"},{"citing_arxiv_id":"2604.11602","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Celestial 1-form symmetries","primary_cat":"hep-th","submitted_at":"2026-04-13T15:11:07+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"In self-dual Yang-Mills the S-algebra becomes an algebra of 1-form symmetries whose 2-form currents link integrability to the equality of Carrollian corner charges and celestial chiral algebra modes.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Betty Moore Foundation and the John Templeton Foundation via the Black Hole Initiative. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Colleges and Universities. This work is supported by the Simons Collaboration on Celestial Holography. References [1] D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett,Generalized Global Symmetries, JHEP02(2015) 172 [1412.5148]. [2] D. Gaiotto and T. Johnson-Freyd,Symmetry Protected Topological phases and Generalized Cohomology,JHEP05(2019) 007 [1712.07950]. [3] L. Bhardwaj, L.E. Bottini, L. Fraser-Taliente, L. Gladden, D.S.W. Gould, A. Platschorre et al.,Lectures on generalized symmetries,Phys."},{"citing_arxiv_id":"2604.10919","ref_index":18,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Dynamical Generation of the VY Superpotential in $N=1$ SYM: A Higher-Form Perspective","primary_cat":"hep-th","submitted_at":"2026-04-13T02:34:33+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Higher-form gauge dynamics associated with domain walls produce the VY superpotential semiclassically via Z_N sectors and point-like configurations in N=1 SYM.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"In four dimensions, the three-form gauge field provides a natural higher- form description of the branch structure associated with the infrared chiral sector. Domain walls interpolate between distinct vacua and therefore provide the natural extended objects in this formulation. This structure admits an interpretation in the language of higher-form symmetries [18]. For a related study, see [19] and references therein. In the dual description, the same structure is encoded by an axionic degree of freedom, whose Peccei-Quinn-type shift symmetry captures the infrared physics. As discussed in [17], the PQ symmetry can be described in terms of an intrinsic two-form gauge symmetry. In this formulation, when a field"},{"citing_arxiv_id":"2604.09503","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Classification of 2D Fermionic Systems with a $\\mathbb Z_2$ Flavor Symmetry","primary_cat":"hep-th","submitted_at":"2026-04-10T17:15:38+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Classification of 2D fermionic systems with Z2 flavor symmetry yields 16 consistent superfusion categories labeled by anomaly invariants (ν_W, ν_Z, ν_WZ).","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 D Fermionic number operatorF24 1 1 Introduction In recent years, the framework for describing symmetries in quantum field theory has un- dergone significant development. From a modern perspective, symmetries in a QFT can be characterized by the presence of topological defect operators [1]. In a two-dimensional quan- tum field theory, particularly conformal field theory, such topological defect operators are known as topological defect lines (TDLs). TDLs generalize the familiar group-like (invert- ible) symmetries to encompass non-invertible symmetries [2-4], with both types organized uniformly within the mathematical framework of fusion categories; see [5, 6] for recent de-"},{"citing_arxiv_id":"2604.09345","ref_index":6,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"A General Prescription for Spurion Analysis of Non-Invertible Selection Rules","primary_cat":"hep-ph","submitted_at":"2026-04-10T14:17:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A general prescription is formulated for spurion analysis of commutative non-invertible fusion algebras in particle physics, unifying prior specific cases and enabling systematic tracking of coupling constants in tree- and loop-level processes without requiring faithful realization or exclusive use.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Generalized Symmetries in Quantum Field Theory and Beyond,\" inSnowmass 2021(2022) arXiv:2205.09545 [hep-th]. [4] John McGreevy, \"Generalized Symmetries in Condensed Matter,\" Ann. Rev. Condensed Matter Phys.14, 57-82 (2023), arXiv:2204.03045 [cond-mat.str-el]. [5] Pedro R. S. Gomes, \"An introduction to higher-form symmetries,\" SciPost Phys. Lect. Notes74, 1 (2023), arXiv:2303.01817 [hep-th]. [6] Sakura Schafer-Nameki, \"ICTP lectures on (non- )invertible generalized symmetries,\" Phys. Rept.1063, 1-55 (2024), arXiv:2305.18296 [hep-th]. [7] T. Daniel Brennan and Sungwoo Hong, \"Introduction to Generalized Global Symmetries in QFT and Particle Physics,\" (2023), arXiv:2306.00912 [hep-ph]. [8] Ran Luo, Qing-Rui Wang, and Yi-Nan Wang, \"Lecture notes on generalized symmetries and applications,\" Phys."},{"citing_arxiv_id":"2604.09126","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Lattice Realizations of Flat Gauging and T-duality Defects at Any Radius","primary_cat":"hep-th","submitted_at":"2026-04-10T09:09:23+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"Modified Villain lattice realizations of flat-gauged interfaces and T-duality defects in the 2D compact boson are constructed at arbitrary radii, yielding non-compact edge modes with continuous spectrum and infinite quantum dimension.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"1 Introduction Topological manipulations in quantum systems can be understood as maps between theories that share the same local physics but may differ in global properties. In particular, they do not alter the RG flow. Familiar examples are orbifolds in two-dimensional conformal field theories, as well as discrete gaugings of higher-form symmetries [1]. In fact, one can more generally associate a topological interface with such a manipulation, viewed as an object separating the two corresponding theories [2]. When the topological manipulation maps a given theory to itself, it then implements a symmetry of the theory, and the interface becomes a symmetry defect (generically of the non-invertible kind)."},{"citing_arxiv_id":"2604.06307","ref_index":18,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Lattice chiral symmetry from bosons in 3+1d","primary_cat":"hep-th","submitted_at":"2026-04-07T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"to the Hamiltonian to break U(1) (2) W while preserving U(1) V ×U(1) A. This lattice axial chargeQ A is a direct generalization of the constructions in [30, 16], which themselves were inspired by earlier work [53,54,12] on Hall conductance. The authors 3We denote a global symmetry or its charge with a superscript (q) to indicate that it is aq-form global symmetry [18]. Such symmetries are generated by conserved operators of codimensionqin space (equiv- alently, codimensionq+ 1 in spacetime). For ordinary, 0-form global symmetries, we typically omit the superscript (0). 9 of [30,16] work in a tensor-product Hilbert space, where the axial charge takes the form Z ⌈dϕ⌋ ∪d⌈dϕ⌋. Here⌈x⌋denotes the integer closest tox."},{"citing_arxiv_id":"2604.06088","ref_index":16,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Comments on Symmetry Operators, Asymptotic Charges and Soft Theorems","primary_cat":"hep-th","submitted_at":"2026-04-07T17:02:25+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"1-form symmetries in the QED soft sector generate asymptotic charges whose central extension implies soft photon theorems and fixes a two-soft-photon contact term.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"asymptotic symmetries is equivalent to the statement that it obeys the corresponding soft theorem. Recently, [15] advocated an alternative point of view. This approach is based on the idea that, in a particular kinematic regime in which particle pair production is sup- pressed, massive QED exhibits an emergent electricU(1) (1) 1-form global symmetry [16]. This perspective is particularly natural because the regime of interest is described by a heavy-particle effective theory, in which soft interactions decouple through Wilson lines, the objects that carry charge under the emergentU(1) (1) e 1-form symmetry. One may then invoke the corresponding 1-form Ward identity acting on these soft Wilson lines to derive"},{"citing_arxiv_id":"2604.02414","ref_index":15,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"On Lagrangians of Non-abelian Dijkgraaf-Witten Theories","primary_cat":"hep-th","submitted_at":"2026-04-02T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A gauging method from abelian Dijkgraaf-Witten theories yields BF-type Lagrangians for non-abelian cases via local-coefficient cohomologies and homotopy analysis.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"tries of a quantum field theory, topological or not, are imple- mented by topological defects. The topological nature of the global symmetries of a theoryTonM D motivates the defini- tion of the symmetry topological field theory (SymTFT) [14] on a cylinderM D ×I, which captures the symmetry data, de- fects, and anomalies ofTas topological operators and bound- ary conditions. See [15, 16] and the references therein for further details. The same construction also appears in the con- densed matter theory literature as SymTO/topological holog- raphy [17, 18]. Mathematically, DW theories are extended TQFTs [19, 20], and a proper mathematical investigation would require higher category theory. Given its relevance in both the condensed"},{"citing_arxiv_id":"2603.19381","ref_index":8,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints","primary_cat":"cond-mat.str-el","submitted_at":"2026-03-19T18:18:20+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Modulated SPT phases in 1D are classified by H²(G, U(1)_s) and obey LSM-type theorems forbidding symmetric short-range entangled ground states.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2603.12323","ref_index":1,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"On the SymTFTs of Finite Non-Abelian Symmetries","primary_cat":"hep-th","submitted_at":"2026-03-12T18:00:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Constructs BF-like 3D SymTFT Lagrangians for finite non-Abelian groups presented as extensions, yielding surface-attaching non-genuine line operators and Drinfeld-center fusion rules.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2603.09977","ref_index":71,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Does hot QCD have a conformal manifold in the chiral limit?","primary_cat":"hep-th","submitted_at":"2026-03-10T17:59:59+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"An 't Hooft anomaly at general imaginary baryon chemical potential constrains the QCD chiral transition to three minimal CFT scenarios, with the favored one for N_f >= 3 featuring a conformal manifold of theta_B-dependent universality classes with an exactly marginal operator tied to baryon density.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Roberge and Weiss [29] pointed out a first-order phase transition atθB =π. This is associated with discrete symmetry breaking atθB =π, (Z2)3 C,S,R →(Z 2)2 CS,R ,(14) which needs to quotient out(Z 2)CS forN f = 2. The order operator isρB with ⟨ρB⟩= ∂fβ(θB) ∂θB .(15) In this high-Tgapped phase, continuous chiral symme- try flows to an emergent2-formU(1)symmetry [71] and the 3D anomaly (7) is matched via symmetry transmu- tation [72]; we explain this high-TIR effective theory in the Supplemental Material S1. In summary, chiral symmetry is broken in the low-T phaseandrestoredinthehigh-Tphase, whilethediscrete symmetry atθ B =πis broken 2 in the high-Tphase and restored in the low-Tphase. This complementarity of"}],"limit":50,"offset":0}