{"total":19,"items":[{"citing_arxiv_id":"2606.26004","ref_index":48,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Non-invertible symmetries in the axiverse, and the imaginary wormholes","primary_cat":"hep-th","submitted_at":"2026-06-24T16:21:20+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"Identifies invertible and non-invertible generalized symmetries in axiverse EFTs and argues that wormholes break non-invertible axion symmetries via the Imaginary Distance Bound, implying a distinguished role for towers of BPS EFT instantons generating infinitely many superpotential terms in N=1 mod","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.12528","ref_index":50,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"How traversable is a traversable wormhole?","primary_cat":"hep-th","submitted_at":"2026-06-10T18:00:03+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Low-frequency scattering calculations show scalar probes through the MMP wormhole are mostly reflected or trapped at early times with late leakage to half the black-hole cross-section, while charged massless fermions transmit with unit probability via a Callan-Rubakov-like channel.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.30413","ref_index":52,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Quark-Lepton Color-Flavor Unification","primary_cat":"hep-ph","submitted_at":"2026-05-28T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"An SU(12)-based model unifies quark color-flavor and lepton flavor, generates Yukawas via instantons, solves strong CP with massless quarks, implements a flavored seesaw, and stabilizes the proton via a discrete gauge symmetry X = B - 3(L_i + L_j - L_k).","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.20688","ref_index":38,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"2605.19195","ref_index":8,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The Thermodynamic Costs of Simple Linear Regression","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-18T23:51:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Thermodynamic lower bounds are approximated for exact and SGD linear regression, producing energy-aware scaling laws for optimal training dataset size given a target generalization error.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.12907","ref_index":40,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"-G. Wen, Z.-H. Zhang, and H. Zheng, Algebraic higher symmetry and categorical symmetry - a holographic and entanglement view of symmetry, Phys. Rev. Res.2, 043086 (2020), arXiv:2005.14178 [cond- mat.str-el]. [39] T. D. Brennan and S. Hong, Introduction to Generalized Global Symmetries in QFT and Particle Physics, (2023), arXiv:2306.00912 [hep-ph]. [40] Y. Choi, H. T. Lam, and S.-H. Shao, Noninvertible Global Symmetries in the Standard Model, Phys. Rev. Lett.129, 161601 (2022), arXiv:2205.05086 [hep-th]. [41] J. McGreevy, Generalized Symmetries in Condensed Matter, Ann. Rev. Condensed Matter Phys.14, 57 (2023), arXiv:2204.03045 [cond-mat.str-el]. [42] D. Gaiotto, A. Kapustin, N. Seiberg, and B. Wil-"},{"citing_arxiv_id":"2604.09503","ref_index":28,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"2) Table 2: The classification of q-typeZ 2 TDLs 3 Super-pentagon solutions In this section, we lay out the necessary techniques to solve the super-pentagon equations associated to the fusion ring (1.4). For more details on the difference between super-pentagon 5 equations and pentagon equation in a bosonic system, please refer to our previous work [28]. The solutions to the super-pentagon equations are classified by the parametersν Z,ν W , and νW Z, which are associated to the three independentZ 2 subcategories spanned by the subsets of TDLs {I, Z},{I, W},{I, W Z}. (3.1) The fermion parity TDLZshould a non-anomalous m-type line, i.e.ν Z = 0. Furthermore, when the TDLWis q-type, the 1d Majorana fermion onWshould acquires a minus sign"},{"citing_arxiv_id":"2604.06307","ref_index":28,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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 extend this construction to realize the ordinary chiral U(1) V ×U(1) A symmetry and its anomaly in 3+1d lattice systems, since there is no natural notion of bosonization. Recent advances in generalized symmetries [18-27] have reopened this question and mo- tivated new mechanisms to bypass standard obstructions. Motivated by the non-invertible 2 chiral symmetry in quantum electrodynamics (QED) [28,29], the authors of [30] constructed exact chiral U(1) V ×U(1) A symmetry operators in a 3+1d lattice Hilbert space. Subse- quently, anomaly cancellation of this lattice chiral symmetry was demonstrated in [16]. The no-go theorems are evaded by using continuous lattice bosons, rather than fermions. Now that there is a lattice chiral symmetry operator, what theory actually realizes this"},{"citing_arxiv_id":"2604.02856","ref_index":40,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Type-IV 't Hooft Anomalies on the Lattice: Emergent Higher-Categorical Symmetries and Applications to LSM Systems","primary_cat":"cond-mat.str-el","submitted_at":"2026-04-03T08:22:30+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"A concrete lattice model realizing a type-IV mixed anomaly yields emergent higher-categorical symmetries upon gauging, and the same framework applied to Lieb-Schultz-Mattis systems produces modulated symmetries whose realization is intrinsically defect-dependent.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"tensor networks for gapped phases with categorical symmetry,\"SciPost Phys.20no. 2, (2026) 043,arXiv:2506.09177 [cond-mat.str-el]. [38] Y. Tachikawa, \"On gauging finite subgroups,\"SciPost Phys.8no. 1, (2020) 015, arXiv:1712.09542 [hep-th]. [39] J. Kaidi, K. Ohmori, and Y. Zheng, \"Kramers-Wannier-like Duality Defects in (3+1)D Gauge Theories,\"Phys. Rev. Lett.128no. 11, (2022) 111601,arXiv:2111.01141 [hep-th]. [40] Y. Choi, H. T. Lam, and S.-H. Shao, \"Noninvertible Global Symmetries in the Standard Model,\"Phys. Rev. Lett.129no. 16, (2022) 161601,arXiv:2205.05086 [hep-th]. [41] C. Cordova and K. Ohmori, \"Noninvertible Chiral Symmetry and Exponential Hierarchies,\"Phys. Rev. X13no. 1, (2023) 011034,arXiv:2205.06243 [hep-th]. [42] J. Kaidi, E. Nardoni, G. Zafrir, and Y."},{"citing_arxiv_id":"2602.11696","ref_index":34,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Symmetry Spans and Enforced Gaplessness","primary_cat":"cond-mat.str-el","submitted_at":"2026-02-12T08:22:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"Symmetry spans enforce gaplessness when a symmetry E embedded into two larger symmetries C and D has no compatible gapped phase that restricts from both.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"3043-3107 (2023), arXiv:2204.02407 [hep-th]. [32] Yichul Choi, Ho Tat Lam, and Shu-Heng Shao, \"Non- invertible Global Symmetries in the Standard Model,\" Phys. Rev. Lett.129, 161601 (2022), arXiv:2205.05086 [hep-th]. [33] Clay Cordova and Kantaro Ohmori, \"Noninvertible Chi- ral Symmetry and Exponential Hierarchies,\" Phys. Rev. X13, 011034 (2023), arXiv:2205.06243 [hep-th]. [34] Shu-Heng Shao, \"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries,\" in Theoretical Advanced Study Institute in Elementary Particle Physics 2023: Aspects of Symmetry(2023) arXiv:2308.00747 [hep-th]. [35] Davide Gaiotto, Anton Kapustin, Zohar Komargodski, and Nathan Seiberg, \"Theta, Time Reversal, and Tem- perature,\" JHEP05, 091 (2017), arXiv:1703."},{"citing_arxiv_id":"2602.09105","ref_index":100,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Generalized Families of QFTs","primary_cat":"hep-th","submitted_at":"2026-02-09T19:00:17+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":"Simple, non-trivial examples of 2-group global symmetry arise in variants of 4d QED [96]. Consider e.g. 4d QED withN f Dirac fermions of charge 1, i.e.N f Weyl fermions of charge +1 andN f Weyl fermions of charge−1. The global symmetry includes aU(1) (1) m magnetic 1-form global symmetry andSU(N f)L ×SU(N f)R global symmetry. There is also a non-invertible global symmetry from subgroups of the ABJ-anomalousU(1) A symmetry [100, 101], which we will review and further discuss later. TheSU(N f)L−R global symmetry combines with U(1) (1) m to form a 2-group [96]. TheU(1) (1) m magnetic 1-form global symmetry can be coupled to a background 2-form gauge fieldB (m) 2 via a term S⊃ i 2π Z B(m) 2 ∧F 2 ,(2.4) - 5 - whereF 2 is the field strength of the dynamicalU(1) g gauge field."},{"citing_arxiv_id":"2511.15783","ref_index":33,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates","primary_cat":"cond-mat.str-el","submitted_at":"2025-11-19T19:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Automorphisms of gauge groups extend to higher or non-invertible symmetries in topological gauge theories and enable transversal non-Clifford gates in 2+1d Z_N qudit Clifford stabilizer models for N greater than or equal to 3.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2508.14970","ref_index":43,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Spurion Analysis for Non-Invertible Selection Rules from Near-Group Fusions","primary_cat":"hep-ph","submitted_at":"2025-08-20T18:00:03+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Generalizes spurion analysis to non-invertible near-group fusion algebras, introduces coupling labels, and explains radiative violation of tree-level selection rules.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2508.00050","ref_index":105,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries","primary_cat":"hep-th","submitted_at":"2025-07-31T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Continuous-universe decomposition plus (-1)-form gauging eliminates every instanton in local QFTs, realized explicitly by switching 2D U(1) gauge theories to noncompact R gauge groups.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"in which instantons are restricted to degree divisible by a fixed integer 𝑝. It can be thought of as gauging aZ[−1] 𝑝 symmetry, in any spacetime dimension𝐷. We shall argue that, formally, in the limit 𝑝 → ∞, one has a decomposition into universes indexed byQ/Z (as opposed to universes indexed by R/Z \u001b 𝑈 (1) considered earlier). (See also [104] for general remarks on Q/Z as a symmetry, and e.g. [105, 106] for other recent occurrences of Q/Z symmetries in physics. The 𝑝 → ∞ limit was also considered in [9, section 3.1], where it was identified with a𝑈 (1) [−1] topological gauging, instead of the Q/Z gauging we will argue here.) 53 We should also mention that a sigma-model-version of the Tanizaki- ¨Unsal construction [13] was discussed in [11, appendix D."},{"citing_arxiv_id":"2408.01490","ref_index":63,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT","primary_cat":"hep-th","submitted_at":"2024-08-02T18:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Defect charges under generalized symmetries correspond one-to-one with gapped boundary conditions of the Symmetry TFT Z(C) on Y = Σ_{d-p+1} × S^{p-1} via dimensional reduction.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2308.00747","ref_index":73,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"invertible symmetries were found in the 3+1d free Maxwell gauge theory, Yang-Mills theory, and N = 4 super Yang-Mills theory. The techniques employed in these papers are very general and were further generalized to a large class of quantum systems in diverse spacetime dimen- sions. These include the non-invertible global symmetry in the 3+1d QED and QCD for the real world [73, 74]. In most of these constructions, higher-form symmetries play a central role. The two seemingly orthogonal developments of generalized global symmetries are no longer separable. Below we mention a few popular constructions for the non-invertible symmetries: Higher gauging [67] We gauge a discrete higher-form global symmetryG(q) of a QFT T along"},{"citing_arxiv_id":"2307.07547","ref_index":129,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Lectures on Generalized Symmetries","primary_cat":"hep-th","submitted_at":"2023-07-14T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":1.0,"formal_verification":"none","one_line_summary":"Lecture notes that systematically introduce higher-form symmetries, SymTFTs, higher-group symmetries, and related concepts in QFT using gauge theory examples.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2305.18296","ref_index":20,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"ICTP Lectures on (Non-)Invertible Generalized Symmetries","primary_cat":"hep-th","submitted_at":"2023-05-29T17:59:50+00:00","verdict":"ACCEPT","verdict_confidence":"MODERATE","novelty_score":2.0,"formal_verification":"none","one_line_summary":"Lecture notes explain non-invertible generalized symmetries in QFTs as topological defects arising from stacking with TQFTs and gauging diagonal symmetries, plus their action on charges and the SymTFT framework.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Condensation, Duality, and Triality Defects in 3+1 Dimensions,\" arXiv:2204.09025 [hep-th]. [18] C. Cordova and K. Ohmori, \"Noninvertible Chiral Symmetry and Exponential Hierarchies,\" Phys. Rev. X 13 no. 1, (2023) 011034, arXiv:2205.06243 [hep-th] . [19] Y. Choi, H. T. Lam, and S.-H. Shao, \"Noninvertible Global Symmetries in the Standard Model,\" Phys. Rev. Lett. 129 no. 16, (2022) 161601, arXiv:2205.05086 [hep-th]. [20] J. Kaidi, G. Zafrir, and Y. Zheng, \"Non-invertible symmetries of N = 4 SYM and twisted compactification,\" JHEP 08 (2022) 053, arXiv:2205.01104 [hep-th] . [21] A. Antinucci, G. Galati, and G. Rizi, \"On continuous 2-category symmetries and Yang-Mills theory,\" JHEP 12 (2022) 061, arXiv:2206.05646 [hep-th] . [22] V. Bashmakov, M. Del Zotto, and A. Hasan, \"On the 6d Origin of Non-invertible"},{"citing_arxiv_id":"2205.09545","ref_index":8,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"ABJ case) are obstructions to gauging and they must be constant on renormalization group (RG) flows; such anomalies are often now often referred to as 't Hooft anomalies and will be reviewed here. 1 This paper is one of Landau's famous contributions during his tenure at the Ukrainian Physico-Technical Institute in Kharkiv. 2 It was recently pointed out that the ABJ anomaly actually leads to non-invertible global symmetries [8, 9]. 3 See [11] for an influential account of symmetry in the development of QFT. 1 Global symmetries are termed accidental (or emergent) when they arise or enhance in the deep IR and violated by higher dimension operators. Examples are U(1)B baryon and U(1)L lepton number, which are preserved by the dimension 4 operators of the Standard Model (SM) but are violated by higher dimension"}],"limit":50,"offset":0}