{"total":18,"items":[{"citing_arxiv_id":"2605.12488","ref_index":41,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"Sharpe,\"Notes on generalized global symmetries in QFT\", Fortsch. Phys.63, 659 (2015), arXiv:1508.04770 [hep-th]. 55 [39] P. R. S. Gomes,\"An introduction to higher-form symmetries\", SciPost Phys. Lect. Notes 74, 1 (2023),arXiv:2303.01817 [hep-th]. [40] S. Schafer-Nameki,\"ICTP lectures on (non-)invertible generalized symmetries\", Phys. Rept. 1063, 1 (2024),arXiv:2305.18296 [hep-th]. [41] T. D. Brennan & S. Hong,\"Introduction to Generalized Global Symmetries in QFT and Particle Physics\",arXiv:2306.00912 [hep-ph]. [42] L. Bhardwaj, L. E. Bottini, L. Fraser-Taliente, L. Gladden, D. S. W. Gould, A. Platschorre & H. Tillim,\"Lectures on generalized symmetries\", Phys. Rept.1051, 1 (2024), arXiv:2307.07547 [hep-th]. [43] S.-H. Shao,\"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Sym-"},{"citing_arxiv_id":"2605.09868","ref_index":8,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"Magan,Generalized symmetries and Noether's theorem in QFT,JHEP 08(2022) 304 [2205.03412]. [6] C. Cordova, T. T. Dumitrescu, K. Intriligator and S.-H. Shao,Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond, inSnowmass 2021, 5, 2022,2205.09545. [7] P. R. S. Gomes,An introduction to higher-form symmetries,SciPost Phys. Lect. Notes74(2023) 1 [2303.01817]. [8] T. D. Brennan and S. Hong,Introduction to Generalized Global Symmetries in QFT and Particle Physics,2306.00912. - 23 - [9] L. Bhardwaj, L. E. Bottini, L. Fraser-Taliente, L. Gladden, D. S. W. Gould, A. Platschorre et al., Lectures on generalized symmetries,Phys. Rept.1051(2024) 1 [2307.07547]. [10] R. Luo, Q.-R. Wang and Y .-N. Wang,Lecture notes on generalized symmetries and applications,Phys."},{"citing_arxiv_id":"2604.22656","ref_index":5,"ref_count":2,"confidence":0.9,"is_internal_anchor":false,"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":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"is a semisimple Lie algebra, this is nothing other than the Abelian L∞-algebra on the graded vector space of invariant polynomials of the Lie algebra in the classical sense. A dgca morphism CE(inv(h))→ Ω(U) (35) that factors as CE(inv(h))→ CE(inn(h))→ Ω(U), (36) then corresponds to gauge-invariant local observables of the gauge potentials. For instance, if h = su(N), then inv(su(N)) = R[3] ⊕ R[5] ⊕ · · · ⊕ R[2N− 1], so that the morphism CE(inv(h)) → Ω(U) corresponds to the collection of differential forms tr(F 2), . . . ,tr(F N). Furthermore, if H is a Lie group integrating h, in favourable cases (e.g. if h is a simple Lie algebra and H is compact and simply connected), (34) is the real homotopy type of the short exact sequence H ↪→ EH↠ BH (37)"},{"citing_arxiv_id":"2604.18733","ref_index":74,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Gauging in superconductors and other electronic systems","primary_cat":"hep-th","submitted_at":"2026-04-20T18:33:38+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Superconductors are bosonic at low energy yet carry a gravito-magnetic anomaly from fermion parity gauging that forbids trivial massive phases in 3D and 4D.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Putrov, J. Wang, and S.-T. Yau, \"Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions,\"Annals of Physics, vol. 384, pp. 254-287, Sept. 2017. [73] P.-S. Hsin, H. T. Lam, and N. Seiberg, \"Comments on one-form global symmetries and their gauging in 3d and 4d,\"SciPost Phys., vol. 6, p. 039, 2019. 59 [74] T. D. Brennan and S. Hong, \"Introduction to Generalized Global Symmetries in QFT and Particle Physics,\"arXiv e-prints, p. arXiv:2306.00912, June 2023. [75] B. Moy, H. Goldman, R. Sohal, and E. Fradkin, \"Theory of oblique topological insu- lators,\"SciPost Phys., vol. 14, p. 023, 2023. [76] M. Guo, K. Ohmori, P. Putrov, Z. Wan, and J. Wang, \"Fermionic Finite-Group Gauge"},{"citing_arxiv_id":"2604.15424","ref_index":3,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"is identically vanishing, therefore the symTFT is manifestly supersymmetric inSM(3|4). 26 References [1] D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett,Generalized global symmetries,J. High Energy Phys.02(2015) 172, [arXiv:1412.5148]. [2] S. Schafer-Nameki,ICTP lectures on (non-)invertible generalized symmetries, Phys. Rept.1063(2024) 1-55, [arXiv:2305.18296]. [3] T. D. Brennan and S. Hong,Introduction to Generalized Global Symmetries in QFT and Particle Physics,arXiv:2306.00912. [4] L. Bhardwaj, L. E. Bottini, L. Fraser-Taliente, L. Gladden, D. S. W. Gould, A. Platschorre, and H. Tillim,Lectures on generalized symmetries,Phys. Rept. 1051(2024) 1-87, [arXiv:2307.07547]. [5] S.-H. Shao,What's Done Cannot Be Undone: TASI Lectures on Non-Invertible"},{"citing_arxiv_id":"2604.12907","ref_index":39,"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":"Platschorre, and H. Tillim, Lec- tures on generalized symmetries, Phys. Rept.1051, 1 (2024), arXiv:2307.07547 [hep-th]. [38] L. Kong, T. Lan, X.-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"},{"citing_arxiv_id":"2604.09345","ref_index":11,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"[8] Ran Luo, Qing-Rui Wang, and Yi-Nan Wang, \"Lecture notes on generalized symmetries and applications,\" Phys. Rept.1065, 1-43 (2024), arXiv:2307.09215 [hep-th]. [9] Shu-Heng Shao, \"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries,\" (2023), arXiv:2308.00747 [hep-th]. [10] Davi Costaet al., \"Simons Lectures on Categorical Sym- metries,\" (2024) arXiv:2411.09082 [math-ph]. [11] Nabil Iqbal, \"Jena lectures on generalized global symmetries: principles and applications,\" (2024) arXiv:2407.20815 [hep-th]. [12] Justin Kaidi, \"Introduction to Generalized Symmetries,\" (2026), arXiv:2603.08798 [hep-th]. [13] Gerard 't Hooft, \"Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking,\" NATO Sci. Ser. B59, 135-157 (1980)."},{"citing_arxiv_id":"2604.06307","ref_index":22,"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":"14(2023) 57-82, [arXiv:2204.03045]. [20] C. Cordova, T. T. Dumitrescu, K. Intriligator, and S.-H. Shao,Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond, inSnowmass 2021, 5, 2022.arXiv:2205.09545. [21] S. Schafer-Nameki,ICTP lectures on (non-)invertible generalized symmetries,Phys. Rept.1063(2024) 1-55, [arXiv:2305.18296]. [22] T. D. Brennan and S. Hong,Introduction to Generalized Global Symmetries in QFT and Particle Physics,arXiv:2306.00912. [23] L. Bhardwaj, L. E. Bottini, L. Fraser-Taliente, L. Gladden, D. S. W. Gould, A. Platschorre, and H. Tillim,Lectures on generalized symmetries,Phys. Rept.1051 (2024) 1-87, [arXiv:2307.07547]. 55 [24] S.-H. Shao,What's Done Cannot Be Undone: TASI Lectures on Non-Invertible"},{"citing_arxiv_id":"2604.06088","ref_index":68,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"1-Form Symmetry Mixed Anomaly An important feature of systems with electric and magnetic 1-form symmetry is that they exhibit a mixed 't Hooft anomaly. This is very well known and we will be brief just to highlight the points that are useful for the present discussion. For more details, see [16]; for a particle-physicist-friendly review of the subject, see [68]. To see how this works in both HQET and SCET let us introduce backgroundU(1) 2-form gauge fieldsB (2) e,m such that: B(2) e,m →B (2) e,m +dΛ (1) e,m , Z Σ2 dΛ(1) e,m ∈2πZ.(2.23) When coupled toB (2) e,m, both effective actions (2.9) and (2.22) have terms at linear order in the background fieldsB (2) e,m that read SEFT|O(B) = Z (B(2) e ∧ ∗J (2) e +B (2)"},{"citing_arxiv_id":"2602.12648","ref_index":13,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics","primary_cat":"hep-th","submitted_at":"2026-02-13T06:13:48+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"The five-dimensional topological axion electrodynamics is shown to possess a 3-crossed module structure through modified Stueckelberg couplings required for background gauge invariance.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2602.09105","ref_index":44,"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":"1063(2024) 1-55,arXiv:2305.18296 [hep-th]. [42] S.-H. Shao, \"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries,\" arXiv:2308.00747 [hep-th]. [43] L. Bhardwaj, L. E. Bottini, L. Fraser-Taliente, L. Gladden, D. S. W. Gould, A. Platschorre, and H. Tillim, \"Lectures on generalized symmetries,\"Phys. Rept.1051(2024) 1-87, arXiv:2307.07547 [hep-th]. [44] T. D. Brennan and S. Hong, \"Introduction to Generalized Global Symmetries in QFT and Particle Physics,\"arXiv:2306.00912 [hep-ph]. [45] D. Costaet al., \"Simons Lectures on Categorical Symmetries,\" 11, 2024.arXiv:2411.09082 [math-ph]. [46] D. Gaiotto and J. Kulp, \"Orbifold groupoids,\"JHEP02(2021) 132,arXiv:2008.05960 [hep-th]. [47] D. S. Freed, G. W."},{"citing_arxiv_id":"2602.03926","ref_index":7,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The Line, the Strip and the Duality Defect","primary_cat":"hep-th","submitted_at":"2026-02-03T19:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Condensation defects in SymTFT descriptions of XY-plaquette and XYZ-cube models realize non-invertible self-duality symmetries at any coupling, with a continuous SO(2) version in the XY-plaquette.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2508.14970","ref_index":14,"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":"2508.08639","ref_index":20,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"background","top_context_polarity":"background","context_text":"Cordova, T.T. Dumitrescu, K. Intriligator and S.-H. Shao,Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond, inSnowmass 2021, 5, 2022 [2205.09545]. [19] L. Bhardwaj, L.E. Bottini, L. Fraser-Taliente, L. Gladden, D.S.W. Gould, A. Platschorre et al., Lectures on generalized symmetries,Phys. Rept.1051(2024) 1 [2307.07547]. [20] T.D. Brennan and S. Hong,Introduction to Generalized Global Symmetries in QFT and Particle Physics,2306.00912. [21] A. Cappelli, C. Itzykson and J.B. Zuber,The ADE Classification of Minimal andA1(1) Conformal Invariant Theories,Commun. Math. Phys.113(1987) 1. [22] C. Vafa,Modular Invariance and Discrete Torsion on Orbifolds,Nucl. Phys. B273(1986) 592."},{"citing_arxiv_id":"2507.10459","ref_index":18,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Discrete $p$-Form Symmetry and Higher Coulomb Phases","primary_cat":"hep-th","submitted_at":"2025-07-14T16:38:17+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Field theories with ℤ_N p-form symmetry generically admit a Coulomb phase where the infrared theory is Abelian p-form electrodynamics, illustrated via continuum and lattice examples.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2504.11449","ref_index":7,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"SymTFT construction of gapless exotic-foliated dual models","primary_cat":"cond-mat.str-el","submitted_at":"2025-04-15T17:57:58+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Develops a Mille-feuille SymTFT construction that generates foliated and exotic dual bulk theories realizing gapless boundary models with spontaneous continuous subsystem symmetry breaking, including duals of the XY plaquette and XYZ cube models.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2308.00747","ref_index":142,"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":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2307.07547","ref_index":2,"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":1,"top_context_role":"background","top_context_polarity":"background","context_text":"For a set of excellent introductory notes on the topic of non-invertible symmetries, we refer the reader to the recently appeared [1]. To a reader without background in this field and wishing to obtain an understanding up to the cutting edge of this field, we would recommend a paired reading of this set of notes and of [1]. We also note the recent manuscript [2] that provides an introduction to generalized global symmetries aimed at high energy phenomenologists. Our approach will be complementary to theirs and aimed at high energy theorists. Another set of notes were provided in [3], which are at a more introductory level. Prerequisites. These notes are aimed at the level of an intermediate or advanced gradu-"}],"limit":50,"offset":0}