{"total":17,"items":[{"citing_arxiv_id":"2605.20688","ref_index":50,"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":"2605.13975","ref_index":35,"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":"Phys. 31(1973) 259-264. [33] D. Simmons-Duffin, \"The Conformal Bootstrap,\" inTheoretical Advanced Study Institute in Elementary Particle Physics: New Frontiers in Fields and Strings, pp. 1-74. 2017. arXiv:1602.07982 [hep-th]. [34] E. P. Verlinde, \"Fusion Rules and Modular Transformations in 2D Conformal Field Theory,\" Nucl. Phys. B300(1988) 360-376. [35] V. B. Petkova and J. B. Zuber, \"Generalized twisted partition functions,\"Phys. Lett. B504 (2001) 157-164,arXiv:hep-th/0011021. [36] D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, \"Generalized Global Symmetries,\"JHEP 02(2015) 172,arXiv:1412.5148 [hep-th]. [37] M. Porrati and A. Zaffaroni, \"A universal feature for the Higgs phenomenon in Anti de Sitter"},{"citing_arxiv_id":"2605.07734","ref_index":90,"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":"wall problems and quantum phase transitions, arXiv:2512.21687 [hep-th]. [88] L. Kong,Anyon condensation and tensor categories, Nucl. Phys. B886(2014) 436-482, arXiv:1307.8244 [cond-mat.str-el]. [89] Y.-M. Lu, X.-G. Wen, Z. Wang, and Z. Wang, Non-abelian quantum hall states and their quasiparticles: From the pattern of zeros to vertex algebra,Physical Review B81(Mar., 2010) . [90] K. Schoutens and X.-G. Wen,Simple-current algebra constructions of 2+1-dimensional topological orders, Phys. Rev. B93(2016) 045109, arXiv:1508.01111 [cond-mat.str-el]. [91] Y. Fuji and P. LecheminantPhysical Review B95 (Mar, 2017) . [92] J.-E. Bourgine and Y. Matsuo,Calogero model for the non-Abelian quantum Hall effect,Phys. Rev. B109 (2024) 155158, arXiv:2401."},{"citing_arxiv_id":"2604.25999","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"Finally, renormalization group flows between the different fixed points are analyzed using numerical methods. I. INTRODUCTION Defects in conformal field theories (CFTs) in two space-time dimensions contain signatures of the charac- teristics of the underlying theory. Topological defects are those that preserve the continuity of the stress-energy tensor across the defect [1, 2]. These defects correspond to symmetries which do not necessarily obey the group- like composition law and can even be non-invertible [3- 6]. The investigation of these defects is important for a large number of physical problems ranging from im- purity scattering in condensed matter physics [7, 8] to string theory [9, 10]. In contrast to their higher dimensional counterparts,"},{"citing_arxiv_id":"2604.14275","ref_index":79,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"26For a holographic example involving thermal expectation values of a symmetry operator, see [71]. 27The literature here is vast so we only offer an incomplete set of references. See [3] and references therein for a more complete treatment. 28In non-diagonal models the action of the Verlinde lines can mix states in different sectors according to the fusion algebra [79], and the correspondence with primary operators is also more involved. See e.g., [78] for a recent discussion 22 whereSis the modular S-matrix of the 2D CFT. 29 The fusion rule for the Verlinde lines is: 30 LiLj = X k N k ijLk,(4.11) where the fusion coefficients obey the Verlinde relation [72]: N k ij = X ℓ SiℓSjℓS∗ kℓ S1ℓ ,(4.12) whereS ij denotes the entries of the modular S-matrix."},{"citing_arxiv_id":"2601.03879","ref_index":4,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Defects in N=1 minimal models and RG flows","primary_cat":"hep-th","submitted_at":"2026-01-07T12:47:19+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Topological defects constrain the allowed RG flows of N=1 superconformal minimal models, first via a bosonic coset description and then for the full superconformal case.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2601.02681","ref_index":89,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions","primary_cat":"hep-lat","submitted_at":"2026-01-06T03:27:16+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Tensor renormalization group computes symmetry-twisted partition functions to identify critical points solely from them, yielding Tc=2.2017(2) and nu=0.663(33) for the 3D O(2) model plus TBKT=0.8928(2) for the 2D O(2) BKT transition.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2511.11343","ref_index":43,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Global symmetries: locality, unitarity, and regularity","primary_cat":"hep-th","submitted_at":"2025-11-14T14:31:18+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Authors introduce an observable measuring non-locality properties of symmetry operators that encodes fusion algebra information for a class of examples in QFT.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2511.11059","ref_index":41,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls","primary_cat":"hep-th","submitted_at":"2025-11-14T08:17:29+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Generalized quantum dimensions from SymTFTs classify massless and massive RG flows in pseudo-Hermitian systems and relate coset constructions to domain walls.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Degeneracy,Phys. Rev. Lett.114(2015) 076402, arXiv:1408.6514 [cond-mat.str-el]. [39] V. B. Petkova and J. B. Zuber,Generalized Twisted Partition Functions,Phys. Lett. B504(2001) 157-164, arXiv:hep-th/0011021. [40] A. Ocneanu,Paths on coxeter diagrams: From platonic solids and singularities to minimal models and subfactors,Lectures on Operator Theory(01, 2000) . [41] J. Bockenhauer and D. E. Evans,Modular invariants, graphs and alpha induction for nets of subfactors. 3., Commun. Math. Phys.205(1999) 183-228, arXiv:hep-th/9812110. [42] J. Bockenhauer and D. E. Evans,On alpha induction, chiral generators and modular invariants for subfactors,Commun. Math. Phys.208(1999) 429-487, arXiv:math/9904109. [43] J. Bockenhauer, D."},{"citing_arxiv_id":"2509.22051","ref_index":63,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"From gauging to duality in one-dimensional quantum lattice models","primary_cat":"cond-mat.str-el","submitted_at":"2025-09-26T08:34:55+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Gauging and duality transformations are equivalent up to constant depth quantum circuits in one-dimensional quantum lattice models, demonstrated via matrix product operators.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2508.08639","ref_index":5,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings","primary_cat":"hep-th","submitted_at":"2025-08-12T05:05:35+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Constructs Z_N extended fusion rings and modular partition functions for nonanomalous subgroups, extending to multicomponent systems and orbifoldings in CFTs.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"Corresponding to the partition functionZ B, we introduce the following chiral symmetry operator, Qα = X β,m Sα,β Sα,0 Pβ,m ⊗ 1 (2.4) wherePis the projection andmis the label of descendant fields and 1 is identity which only acts trivially on antichiral sectors. Because this is represented by the summation of projection, this operator is topological because of the commutativity with the Hamiltonian[5]. More generally, one can introduce intertwining operators and the corresponding extended symmetry operators (satisfying the extended algebra[87-89, 89, 90]) which cannot be labelled by{α}, but we restrict our attention to the objects labelled by{α}for simplicity. By mimicking the calculation in [5] and using the Verlinde formula[116], one can obtain the"},{"citing_arxiv_id":"2506.23155","ref_index":137,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders","primary_cat":"hep-th","submitted_at":"2025-06-29T09:28:37+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"An algebraic RG formalism for topological orders uses ideals in fusion rings to encode noninvertible symmetries and condensation rules between anyons.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Jacobsen, H. Saleur, and T. S. Tavares,Topological Defects in Lattice Models and Affine Temperley-Lieb Algebra, Commun. Math. Phys.400 (2023) 1203-1254, arXiv:1811.02551 [hep-th]. [136] J. Belletête, A. M. Gainutdinov, J. L. Jacobsen, H. Saleur, and T. S. Tavares,Topological defects in periodic RSOS models and anyonic chains, arXiv:2003.11293 [math-ph]. [137] D. Aasen, P. Fendley, and R. S. K. Mong,Topological Defects on the Lattice: Dualities and Degeneracies, arXiv:2008.08598 [cond-mat.stat-mech]. [138] 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) 020357, arXiv:2112."},{"citing_arxiv_id":"2312.16317","ref_index":86,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Non-Invertible Anyon Condensation and Level-Rank Dualities","primary_cat":"hep-th","submitted_at":"2023-12-26T19:53:15+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"New dualities in 3d TQFTs are derived via non-invertible anyon condensation, generalizing level-rank dualities and providing new presentations for parafermion theories, c=1 orbifolds, and SU(2)_N.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2308.00747","ref_index":5,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","primary_cat":"hep-th","submitted_at":"2023-08-01T18:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":3.0,"formal_verification":"none","one_line_summary":"A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Furthermore, ⟨L⟩ = 1 if and only if it is invertible. (See [28] for a physics argument.) Using the map in Figure 1, we see that the circle expectation value of the non-invertible line D is √ 2.12 Notice that the algebra (3.13) of the topological lines I, η, D is isomorphic to that of the local Virasoro primary operator (3.1). This is not an accident. It is shown in [5] that in any diagonal RCFT, there is a finite set of topological lines that commute with the extended chiral algebra, which are in one-to-one correspondence with the local chiral algebra primary operators. These lines are sometimes referred to as the Verlinde lines [1], and they obey the same algebra as the fusion rule for the local primary operators."},{"citing_arxiv_id":"2205.09545","ref_index":87,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond","primary_cat":"hep-th","submitted_at":"2022-05-19T13:15:29+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":2.0,"formal_verification":"none","one_line_summary":"This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Seiberg, Taming the Conformal Zoo, Phys. Lett. B 220 (1989) 422-430. [85] J. Fuchs, I. Runkel, and C. Schweigert, TFT construction of RCFT correlators 1. Partition functions, Nucl. Phys. B 646 (2002) 353-497, [hep-th/0204148]. [86] E. P. Verlinde, Fusion Rules and Modular Transformations in 2D Conformal Field Theory, Nucl. Phys. B 300 (1988) 360-376. [87] V . B. Petkova and J. B. Zuber,Generalized twisted partition functions, Phys. Lett. B 504 (2001) 157-164, [hep-th/0011021]. [88] J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, Kramers-Wannier duality from conformal defects, Phys. Rev. Lett. 93 (2004) 070601, [cond-mat/0404051]. [89] J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, Duality and defects in rational conformal field"},{"citing_arxiv_id":"2204.02407","ref_index":6,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Higher Gauging and Non-invertible Condensation Defects","primary_cat":"hep-th","submitted_at":"2022-04-05T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Higher gauging of 1-form symmetries on surfaces in 2+1d QFT yields condensation defects whose fusion rules involve 1+1d TQFTs and realizes every 0-form symmetry in TQFTs.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"dimensions, JHEP 03 (2018) 189, [ arXiv:1704.02330]. [4] C.-M. Chang, Y.-H. Lin, S.-H. Shao, Y. Wang, and X. Yin, Topological Defect Lines and Renormalization Group Flows in Two Dimensions , JHEP 01 (2019) 026, [arXiv:1802.04445]. [5] E. P. Verlinde, Fusion Rules and Modular Transformations in 2D Conformal Field Theory, Nucl. Phys. B 300 (1988) 360-376. [6] V. B. Petkova and J. B. Zuber, Generalized twisted partition functions, Phys. Lett. B 504 (2001) 157-164, [ hep-th/0011021]. [7] J. Fuchs, I. Runkel, and C. Schweigert, TFT construction of RCFT correlators 1. Partition functions, Nucl. Phys. B 646 (2002) 353-497, [ hep-th/0204148]. [8] C. Bachas and M. Gaberdiel, Loop operators and the Kondo problem , JHEP 11"},{"citing_arxiv_id":"2111.01139","ref_index":17,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Non-Invertible Duality Defects in 3+1 Dimensions","primary_cat":"hep-th","submitted_at":"2021-11-01T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"MODERATE","novelty_score":8.0,"formal_verification":"none","one_line_summary":"Constructs non-invertible duality defects for one-form symmetries in 3+1D by partial gauging, derives fusion rules, proves incompatibility with trivial gapped phases, and realizes explicitly in Maxwell theory and lattice models.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}