{"total":13,"items":[{"citing_arxiv_id":"2605.07734","ref_index":84,"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":"method","top_context_polarity":"use_method","context_text":"UV and IR theories havenandn ′ primary fields (with n≥n ′), there existP(n, n′)sets of homomorphisms. For the later use, we introduce the set of pairs of preserved idempotents as{(α pr, α′ pr)}=S ρ,× and the complement setS c ρ =A\\S ρ in the UV. We also note thatSc ρ satisfies the following relation, A×S c ρ =S c ρ (22) The above condition means thatSc ρ is an ideal ofA[84]. For phenomenological understanding, we note that the above relation is compatible with the replacementSc ρ ⇒ 0, andS c ρ can be regarded as a condensable block of the theory[84]. Moreover, this replacement requires the ob- jects to have an eigenvalue0, and this condition is noth- ing but the non-invertibility of the objects in the ideal. We also note that this straightforward definition of non-"},{"citing_arxiv_id":"2605.06661","ref_index":41,"ref_count":2,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Pro-Tensor Network","primary_cat":"cond-mat.str-el","submitted_at":"2026-05-07T17:58:40+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"Introduces pro-tensor networks as a categorified graphical framework for many-many-body theories, recovers the Levin-Wen model, characterizes particles as modules over promonads, and relaxes semisimplicity, finiteness, and rigidity assumptions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.06653","ref_index":20,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs","primary_cat":"hep-th","submitted_at":"2026-05-07T17:56:48+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":"2605.03891","ref_index":86,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping","primary_cat":"cond-mat.str-el","submitted_at":"2026-05-05T15:48:37+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Parameterized families of toric code Hamiltonians realize em-duality pumping and higher-order anyon pumping, diagnosed by topological pumping into tensor-network bond spaces and corner modes.","context_count":1,"top_context_role":"background","top_context_polarity":"support","context_text":"A Realizing symmetry actions from gauged models In this appendix, we explain a procedure to obtain lattice models for symmetry-enriched topo- logically (SET) ordered phases with general non-anomalous global symmetries. 16 It is believed that any RG fixed topologically ordered states, whose IR theories are TQFTs, are obtained out of (higher) braided tensor categories [86, 87], and there are several ways to write lattice models for a wide class of topologically ordered phases. For example, the string-net model and its general- izations [68, 88-94] describe various non-chiral2 + 1Dtopologically ordered phases. By using the string-net models, one can explicitly obtain anyonic line operators that realize1-form symme- tries of the topologically ordered states."},{"citing_arxiv_id":"2604.25820","ref_index":13,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"[10] E. Witten,Quantum Field Theory and the Jones Polynomial,Commun. Math. Phys.121 (1989) 351. [11] N. Reshetikhin and V.G. Turaev,Invariants of 3-manifolds via link polynomials and quantum groups,Inventiones mathematicae103(1991) 547. [12] D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett,Generalized Global Symmetries,JHEP 02(2015) 172 [1412.5148]. [13] L. Kong and X.-G. Wen,Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions,1405.5858. [14] L. Kong, X.-G. Wen and H. Zheng,Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers,1502.01690. [15] L. Kong, X.-G. Wen and H. Zheng,Boundary-bulk relation in topological orders,Nucl."},{"citing_arxiv_id":"2604.20201","ref_index":23,"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":"and Order-Disorder Coexistence in the Tricritical Ising Model, Phys. Rev. Lett.120, 206403 (2018). [21] N. Seiberg, S. Seifnashri, and S.-H. Shao, Non-invertible symmetries and LSM-type constraints on a tensor prod- uct Hilbert space, SciPost Physics16, 154 (2024), arXiv:2401.12281. [22] X.-G. Wen, Colloquium: Zoo of quantum-topological phases of matter, Rev. Mod. Phys.89, 041004 (2017). [23] X.-G. Wen, Emergent anomalous higher symmetries from topological order and from dynamical electromagnetic field in condensed matter systems, Phys. Rev. B99, 205139 (2019). [24] E. Lake, Higher-form symmetries and spontaneous sym- metry breaking, arXiv e-prints (2018), arXiv:1802.07747. [25] R. Thorngren and Y. Wang, Fusion category symmetry. Part I."},{"citing_arxiv_id":"2604.15424","ref_index":10,"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":"applications, 7, 2024. [8] G. Felder, J. Fröhlich, J. Fuchs, and C. Schweigert,Correlation functions and boundary conditions in RCFT and three-dimensional topology,Compos. Math.131 (2002) 189-237, [hep-th/9912239]. [9] J. Fuchs, I. Runkel, and C. Schweigert,TFT construction of RCFT correlators 1. Partition functions,Nucl. Phys. B646(2002) 353-497, [hep-th/0204148]. [10] L. Kong and X.-G. Wen,Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions, arXiv:1405.5858. [11] D. Gaiotto and J. Kulp,Orbifold groupoids,JHEP02(2021) 132, [arXiv:2008.05960]. [12] F. Apruzzi, F. Bonetti, I. García Etxebarria, S. S. Hosseini, and S. Schäfer-Nameki, Symmetry TFTs from String Theory,Commun."},{"citing_arxiv_id":"2604.14275","ref_index":40,"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":"2, (2012) 351-373,arXiv:1104.5047 [cond-mat.str-el]. [38] J. Fuchs, C. Schweigert, and A. Valentino, \"Bicategories for boundary conditions and for surface defects in 3-d TFT,\"Commun. Math. Phys.321(2013) 543-575, arXiv:1203.4568 [hep-th]. [39] D. S. Freed and C. Teleman, \"Relative quantum field theory,\"Commun. Math. Phys. 326(2014) 459-476,arXiv:1212.1692 [hep-th]. [40] L. Kong and X.-G. Wen, \"Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions,\"arXiv:1405.5858 [cond-mat.str-el]. [41] L. Kong, X.-G. Wen, and H. Zheng, \"Boundary-bulk relation in topological orders,\" Nucl. Phys. B922(2017) 62-76,arXiv:1702.00673 [cond-mat.str-el]. 36 [42] J. J."},{"citing_arxiv_id":"2603.12323","ref_index":12,"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":"2508.08639","ref_index":145,"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":"background","top_context_polarity":"background","context_text":"Moore and N. Seiberg,Naturality in Conformal Field Theory,Nucl. Phys. B313(1989) 16. [143] A. Chatterjee and X.-G. Wen,Symmetry as a shadow of topological order and a derivation of topological holographic principle,Phys. Rev. B107(2023) 155136 [2203.03596]. [144] L. Kong and Z.-H. Zhang,An invitation to topological orders and category theory,2205.05565. [145] L. Kong and X.-G. Wen,Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions,1405.5858. [146] L. Kong, X.-G. Wen and H. Zheng,Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers, 2015. [147] L. Kong and H. Zheng,Gapless edges of 2d topological orders and enriched monoidal categories,Nucl."},{"citing_arxiv_id":"2308.00747","ref_index":234,"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":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2205.09545","ref_index":42,"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":"Bhardwaj and Y . Tachikawa,On finite symmetries and their gauging in two dimensions, JHEP 03 (2018) 189, [arXiv:1704.02330]. [40] Y . Tachikawa,On gauging finite subgroups, SciPost Phys. 8 (2020), no. 1 015, [arXiv:1712.09542]. [41] K. Roumpedakis, S. Seifnashri, and S.-H. Shao, Higher Gauging and Non-invertible Condensation Defects, arXiv:2204.02407. [42] L. Kong and X.-G. Wen, Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions, arXiv:1405.5858. [43] D. V . Else and C. Nayak,Cheshire charge in (3+1)-dimensional topological phases, Phys. Rev. B 96 (2017), no. 4 045136, [arXiv:1702.02148]. [44] D. Gaiotto and T. Johnson-Freyd, Condensations in higher categories, arXiv:1905."},{"citing_arxiv_id":"2204.02407","ref_index":55,"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":"McNamara, M. Montero, M. Reece, T. Rudelius, and I. Valenzuela, Non-invertible global symmetries and completeness of the spectrum , JHEP 09 (2021) 203, [ arXiv:2104.07036]. [53] J. McNamara, Gravitational Solitons and Completeness , arXiv:2108.02228. [54] L. Kong, Anyon condensation and tensor categories , Nucl. Phys. B 886 (2014) 436-482, [arXiv:1307.8244]. [55] L. Kong and X.-G. Wen, Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions , arXiv:1405.5858. 78 [56] D. V. Else and C. Nayak, Cheshire charge in (3+1)-dimensional topological phases , Phys. Rev. B 96 (2017), no. 4 045136, [ arXiv:1702.02148]. [57] D. Gaiotto and T. Johnson-Freyd, Condensations in higher categories ,"}],"limit":50,"offset":0}