{"total":27,"items":[{"citing_arxiv_id":"2607.01151","ref_index":3,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Entanglement fingerprint of a non-invertible symmetry: exact Fibonacci cut charges on the lattice","primary_cat":"quant-ph","submitted_at":"2026-07-01T16:30:14+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Even-length antiferromagnetic ground state of the critical golden chain carries exact Fibonacci cut-charge weights P_tau/P_1=phi^2 and boundary entropy log g=log phi for the duality defect.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.26004","ref_index":25,"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":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":"2606.12560","ref_index":34,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The state/defect correspondence","primary_cat":"hep-th","submitted_at":"2026-06-10T18:11:11+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Establishes a one-to-one correspondence between states and p-dimensional defects in higher-form Maxwell theories via an extended Kac-Moody algebra generated by conserved charges from mixed anomalies, mapping dressed Wilson-'t Hooft defects to squeezed energy eigenstates.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.06343","ref_index":72,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"$E_\\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking","primary_cat":"cond-mat.str-el","submitted_at":"2026-06-04T16:16:09+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"E∞^{1,2}-type LSM anomalies lead to non-invertible symmetry breaking at type-II deconfined quantum critical points in 1D spin chains.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.05543","ref_index":12,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Notes on (-2)-form symmetries","primary_cat":"hep-th","submitted_at":"2026-06-04T00:58:08+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Introduces (-2)-form symmetries that modify the SymTFT action to relate QFTs differing by anomaly data or non-invertible symmetry associators, illustrated in 2D-4D models, fusion categories, club-sandwich RG flows, and holographic Romans mass setups.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.01486","ref_index":4,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Approximate higher-form symmetries and dualities of massive p-forms in the holographic bulk","primary_cat":"hep-th","submitted_at":"2026-05-31T23:01:48+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Develops a holographic realization of approximate higher-form symmetries via massive antisymmetric tensor fields and derives dualities between boundary theories from bulk Hodge dualities, including constraints on current-current correlators for self-dual cases.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.30354","ref_index":3,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Quiver Approach to Symmetry Theories","primary_cat":"hep-th","submitted_at":"2026-05-28T17:59:59+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"An algebraic method using the path algebra of quivers extracts symmetry anomaly data for 5D SCFTs engineered from M-theory on Calabi-Yau cones.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.28946","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Constrained integrability and anyonic chains","primary_cat":"hep-th","submitted_at":"2026-05-27T18:00:05+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":"2605.20688","ref_index":32,"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":"2605.07734","ref_index":120,"ref_count":9,"confidence":0.9,"is_internal_anchor":false,"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":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"Framework using smeared boundary CFTs classifies gapped phases dual to massless RG flows, showing they often spontaneously break non-group-like symmetries via unusual module structures outside standard boundary critical phenomena.","context_count":3,"top_context_role":"background","top_context_polarity":"background","context_text":"Hall effect,Nucl. Phys. B532(1998) 783-806, arXiv:cond-mat/9804198. [118] A. Cappelli and G. Viola,Partition Functions of Non-Abelian Quantum Hall States,J. Phys. A44 (2011) 075401, arXiv:1007.1732 [cond-mat.mes-hall]. [119] J. McGreevy,Generalized Symmetries in Condensed Matter,Ann. Rev. Condensed Matter Phys.14(2023) 57-82, arXiv:2204.03045 [cond-mat.str-el]. [120] C. Cordova, T. T. Dumitrescu, K. Intriligator, and S.-H. Shao,Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond,in Snowmass 2021. 5, 2022. arXiv:2205.09545 [hep-th]. [121] S.-H. Shao,What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries, arXiv:2308.00747 [hep-th]. [122] Y. Nakayama and T. Tanaka,Infinitely many new"},{"citing_arxiv_id":"2604.20201","ref_index":9,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"group-like symmetries with a 't Hooft anomaly forbid a trivially gapped ground state-as in edge theories of symmetry-protected topological phases[39] and in Lieb- Schultz-Mattis-type constraints[40]-generalized symme- tries naturally incorporate 't Hooft anomalies in the def- inition and can thereby place strong constraints on the low-energy physics of a theory[9, 25]. More recently, generalized symmetries have been used extensively to construct quantum critical models, although mostly for 1D systems[31, 41-45] (also see a series of earlier works [46-48]). Extensions to higher dimensions are certainly possible[49], yet progress is limited by the lack of reliable methods for identifying the low-energy theory."},{"citing_arxiv_id":"2604.12907","ref_index":41,"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":"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- lett, Generalized Global Symmetries, JHEP02, 172, arXiv:1412.5148 [hep-th]. [43] W. Cao, L. Li, M. Yamazaki, and Y. Zheng, Subsystem non-invertible symmetry operators and defects, SciPost"},{"citing_arxiv_id":"2604.09345","ref_index":8,"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":"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. 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."},{"citing_arxiv_id":"2604.09126","ref_index":3,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"-FNRS (Belgium). References [1] D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett,Generalized Global Symmetries,JHEP 02(2015) 172, arXiv:1412.5148 [hep-th]. [2] O. Diatlyk, C. Luo, Y. Wang, and Q. Weller,Gauging non-invertible symmetries: topological interfaces and generalized orbifold groupoid in 2d QFT,JHEP03(2024) 127, arXiv:2311.17044 [hep-th]. [3] J. McGreevy,Generalized Symmetries in Condensed Matter,Ann. Rev. Condensed Matter Phys.14(2023) 57-82, arXiv:2204.03045 [cond-mat.str-el]. [4] S.-H. Shao,What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries,inTheoretical Advanced Study Institute in Elementary Particle Physics 2023: Aspects of Symmetry. 8, 2023. arXiv:2308.00747 [hep-th]."},{"citing_arxiv_id":"2604.06307","ref_index":19,"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":"JHEP05(2023) 017, [arXiv:2211.13047]. [16] R. Thorngren, J. Preskill, and L. Fidkowski,Chiral Lattice Gauge Theories from Symmetry Disentanglers,arXiv:2601.04304. [17] S. Seifnashri,Exactly Solvable 1+1d Chiral Lattice Gauge Theories, arXiv:2601.14359. [18] D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett,Generalized Global Symmetries, JHEP02(2015) 172, [arXiv:1412.5148]. [19] J. McGreevy,Generalized Symmetries in Condensed Matter,Ann. Rev. Condensed Matter Phys.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."},{"citing_arxiv_id":"2602.12648","ref_index":9,"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":39,"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":"(2020) 022,arXiv:1904.11550 [cond-mat.str-el]. [37] N. Kan, K. Kawabata, and H. Wada, \"Symmetry fractionalization and duality defects in Maxwell theory,\"JHEP10(2024) 238,arXiv:2404.14481 [hep-th]. [38] J. A. Damia, R. Argurio, F. Benini, S. Benvenuti, C. Copetti, and L. Tizzano, \"Non-invertible symmetries along 4d RG flows,\"JHEP02(2024) 084,arXiv:2305.17084 [hep-th]. [39] J. McGreevy, \"Generalized Symmetries in Condensed Matter,\"Ann. Rev. Condensed Matter Phys.14(2023) 57-82,arXiv:2204.03045 [cond-mat.str-el]. [40] 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 [hep-th]. [41] S."},{"citing_arxiv_id":"2602.03926","ref_index":2,"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":"2511.20527","ref_index":18,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Phases of Giant Magnetic Vortex Strings","primary_cat":"hep-th","submitted_at":"2025-11-25T17:32:07+00:00","verdict":"CONDITIONAL","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Giant vortex strings in 3+1D Abelian Higgs models admit essentially exact solutions that fall into sharply distinct phases in the large-n limit, determined by the form of the Higgs potential and governing their binding energies and stability.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2510.18689","ref_index":9,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies","primary_cat":"cond-mat.str-el","submitted_at":"2025-10-21T14:49:19+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Spatially modulated symmetries arise from gauging ordinary symmetries under generalized LSM anomalies, with explicit lattice models in 2D and 3D plus field-theoretic descriptions in arbitrary dimensions that connect to higher-group structures.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2508.14970","ref_index":11,"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":"2508.13961","ref_index":23,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Fusion Rules of Mobility","primary_cat":"quant-ph","submitted_at":"2025-08-19T15:53:45+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"In Z2 topological order enriched by subsystem symmetries, mobility classes obey multi-channel fusion algebras including Fibonacci rules, tensor products thereof, and lineon period transmutation.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2508.08639","ref_index":17,"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":"210(2000) 733 [math/9907149]. [14] Y. Kawahigashi,Two-dimensional topological order and operator algebras,Int. J. Mod. Phys. B35 (2021) 2130003 [2102.10953]. [15] D.E. Evans and Y. Kawahigashi,Subfactors and mathematical physics,Bull. Am. Math. Soc.60(2023) 459 [2303.04459]. [16] J.A. Harvey,TASI 2003 lectures on anomalies, 9, 2005 [hep-th/0509097]. [17] J. McGreevy,Generalized Symmetries in Condensed Matter,Ann. Rev. Condensed Matter Phys.14 (2023) 57 [2204.03045]. [18] 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]. [19] L. Bhardwaj, L.E. Bottini, L. Fraser-Taliente, L."},{"citing_arxiv_id":"2504.11449","ref_index":2,"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":"2405.05964","ref_index":34,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Lattice Models for Phases and Transitions with Non-Invertible Symmetries","primary_cat":"cond-mat.str-el","submitted_at":"2024-05-09T17:59:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A method is given to construct UV anyonic chain lattice models from SymTFT data realizing IR phases and transitions with non-invertible symmetries, illustrated with Rep(S3).","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2308.00747","ref_index":139,"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":"Unfortunately, there are many fascinating topics on non-invertible symmetries, and more gen- erally, on generalized global symmetries, not covered in the current notes. In particular, we will not provide a comprehensive discussion of the mathematical framework behind these new symmetries, but focus more on the physical examples. We refer the readers to the recent re- views [139-145] for complementary discussions. 2 Generalities on global symmetries What is symmetry? In quantum mechanics, the minimum requirement for any sort of symmetry is the existence of an operator U that is conserved under time evolution, i.e., U commutes with the Hamiltonian, [U, H] = 0 . In QFT, the appropriate generalization of this condition is that the"},{"citing_arxiv_id":"2205.09545","ref_index":4,"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":"of a few recent, selected lines of development, with many omissions. As advertised we primarily focus on symmetries in QFT, with emphasis on renormalization group (RG) flows and anomalies. The later are intimately related to the possibility of projectively realizing symmetries in quantum theory. For a different recent survey from a condensed matter perspective, see for instance [4]. The fundamental forces are described via local gauge interactions. In that context, gauge invariance reflects a convenient but unphysical redundancy introduced to satisfy the requirements of locality and Lorentz invariance in relativistic QFT; as such it is exact, but has no observable consequences, e.g. it can famously not be spontaneously broken [5]."}],"limit":50,"offset":0}