{"total":21,"items":[{"citing_arxiv_id":"2606.03582","ref_index":48,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Fracton Topological Holography","primary_cat":"quant-ph","submitted_at":"2026-06-02T12:50:55+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Introduces FTH as an extension of TH/SymTFT to type-I and type-II fracton orders, demonstrating boundary switches and dualities for X-cube and Haah's code via stabilizer formalism.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.28485","ref_index":10,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Hilbert Space and Defect Hilbert Spaces Associated with Categorical Symmetries","primary_cat":"hep-th","submitted_at":"2026-05-27T13:42:18+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"A quantum mechanical framework is given for Hilbert and defect spaces of line operators in BF+kCS TQFT, with line operator action realized by convolution kernels and matches to Verlinde and semiclassical Hopf-link data.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.15194","ref_index":11,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata","primary_cat":"cond-mat.str-el","submitted_at":"2026-05-14T17:59:45+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Any weakly integral fusion category admits a QCA-refined realization on tensor-product Hilbert spaces with QCA and symmetry indices fixed by the categorical data under defect assumptions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.27363","ref_index":19,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Constructing Bulk Topological Orders via Layered Gauging","primary_cat":"cond-mat.str-el","submitted_at":"2026-04-30T03:19:28+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"A layered gauging method constructs (k+1)-dimensional topological orders, including fracton models like the X-cube, from k-dimensional symmetries such as subsystem, anomalous, or noninvertible ones.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"27363v1 [cond-mat.str-el] 30 Apr 2026 2 ity are already well-established. For instance, any fusion category symmetry in one spatial dimension (1d) corre- sponds to a 2dbulk topological order described by the Turaev-Viro topological quantum field theory (TQFT) [17, 18], which admits a Hamiltonian realization through the Levin-Wen string-net models [19]. As another exam- ple, a 0-form finite group symmetryGin arbitrarykspa- tial dimensions, including those with 't Hooft anomalies, is associated with a Dijkgraaf-Witten TQFT in (k+ 1) spatial dimensions [20]. Hamiltonian realizations of these theories have been constructed for arbitrary anomalies at least in 2d[21, 22]. As a common feature of most exist-"},{"citing_arxiv_id":"2604.25821","ref_index":5,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Categorical Symmetries via Operator Algebras","primary_cat":"hep-th","submitted_at":"2026-04-28T16:30:42+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"The symmetry category of a 2D QFT with G-symmetry and anomaly k equals the twisted Hilbert space category Hilb^k(G), whose Drinfeld center is the twisted representation category of the conjugation groupoid C*-algebra, enabling braiding computations in the 3D SymTFT.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"von Keyserlingk,Field theories for gauged symmetry-protected topological phases: Non-Abelian anyons with Abelian gauge groupZ⊗3 2 ,Phys. Rev. B95 (2017) 035131 [1608.05393]. [4] W. Ji and X.-G. Wen,Categorical symmetry and noninvertible anomaly in symmetry-breaking and topological phase transitions,Phys. Rev. Res.2(2020) 033417 [1912.13492]. - 36 - [5] 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(2020) 043086 [2005.14178]. [6] D. Gaiotto and J. Kulp,Orbifold groupoids,JHEP02(2021) 132 [2008.05960]. [7] F. Apruzzi, F. Bonetti, I. García Etxebarria, S.S. Hosseini and S. Schafer-Nameki,"},{"citing_arxiv_id":"2604.20201","ref_index":24,"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":"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. Anomaly in-flow and gapped phases, JHEP04, 132, arXiv:1912.02817. [26] Y. Choi, H. T. Lam, and S.-H. Shao, Noninvertible global symmetries in the standard model, Phys. Rev. Lett."},{"citing_arxiv_id":"2604.15424","ref_index":14,"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":"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. Math. Phys.402(2023), no. 1 895-949, [arXiv:2112.02092]. [13] D. S. Freed, G. W. Moore, and C. Teleman,Topological symmetry in quantum field theory,arXiv:2209.07471. [14] 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(2020), no. 4 043086, [arXiv:2005.14178]. [15] J. Kaidi, K. Ohmori, and Y. Zheng,Symmetry TFTs for Non-invertible Defects, Commun. Math. Phys.404(2023), no. 2 1021-1124, [arXiv:2209."},{"citing_arxiv_id":"2604.14275","ref_index":45,"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":"36 [42] J. J. Heckman and L. Tizzano, \"6D Fractional Quantum Hall Effect,\"JHEP05(2018) 120,arXiv:1708.02250 [hep-th]. [43] D. S. Freed and C. Teleman, \"Topological dualities in the Ising model,\"Geom. Topol. 26(2022) 1907-1984,arXiv:1806.00008 [math.AT]. [44] D. Gaiotto and J. Kulp, \"Orbifold groupoids,\"JHEP02(2021) 132, arXiv:2008.05960 [hep-th]. [45] 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.2no. 4, (2020) 043086,arXiv:2005.14178 [cond-mat.str-el]. [46] F. Apruzzi, F. Bonetti, I. Garc' ıa Etxebarria, S. S. Hosseini, and S. Schafer-Nameki, \"Symmetry TFTs from String Theory,\"arXiv:2112."},{"citing_arxiv_id":"2604.12907","ref_index":38,"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":"[quant-ph]. [36] S. Schafer-Nameki, ICTP lectures on (non-)invertible generalized symmetries, Phys. Rept.1063, 1 (2024), arXiv:2305.18296 [hep-th]. [37] L. Bhardwaj, L. E. Bottini, L. Fraser-Taliente, L. Glad- den, D. S. W. Gould, A. 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."},{"citing_arxiv_id":"2603.12323","ref_index":17,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"2602.09105","ref_index":51,"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":"11, (2022) 111601,arXiv:2111.01141 [hep-th]. [49] J. Kaidi, K. Ohmori, and Y. Zheng, \"Symmetry TFTs for Non-invertible Defects,\"Commun. Math. Phys.404no. 2, (2023) 1021-1124,arXiv:2209.11062 [hep-th]. - 60 - [50] J. Kaidi, E. Nardoni, G. Zafrir, and Y. Zheng, \"Symmetry TFTs and anomalies of non-invertible symmetries,\"JHEP10(2023) 053,arXiv:2301.07112 [hep-th]. [51] 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 no. 4, (2020) 043086,arXiv:2005.14178 [cond-mat.str-el]. [52] F. Apruzzi, F. Bonetti, I. n. Garc' ıa Etxebarria, S. S. Hosseini, and S. Schafer-Nameki, \"Symmetry TFTs from String Theory,\"Commun."},{"citing_arxiv_id":"2602.03926","ref_index":12,"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":"2511.11059","ref_index":125,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"Zheng,Algebraic higher symmetry and categorical symmetry - a holographic and entanglement view of symmetry,Phys. Rev. Res.2(2020) 043086, arXiv:2005.14178 [cond-mat.str-el]. [124] H. Moradi, S. F. Moosavian, and A. Tiwari, Topological holography: Towards a unification of Landau and beyond-Landau physics,SciPost Phys. Core6(2023) 066, arXiv:2207.10712 [cond-mat.str-el]. [125] L. Bhardwaj, L. E. Bottini, D. Pajer, and S. Schafer-Nameki,The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries,arXiv:2312.17322 [hep-th]. [126] S.-J. Huang and M. Cheng,Topological holography, quantum criticality, and boundary states, arXiv:2310.16878 [cond-mat.str-el]. [127] R. Wen, W. Ye, and A. C. Potter,Topological"},{"citing_arxiv_id":"2510.15766","ref_index":28,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Subdimensional Entanglement Entropy: From Geometric-Topological Response to Mixed-State Holography","primary_cat":"cond-mat.str-el","submitted_at":"2025-10-17T15:54:55+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Introduces subdimensional entanglement entropy (SEE) as a probe of geometric-topological responses in quantum phases and establishes a bulk-to-mixed-state holographic correspondence via strong and weak symmetries on subdimensional subsystems.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2504.11449","ref_index":12,"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":"2405.15648","ref_index":31,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Self-$G$-ality in 1+1 dimensions","primary_cat":"cond-mat.str-el","submitted_at":"2024-05-24T15:40:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"The paper defines self-G-ality conditions for fusion category symmetries in 1+1D systems and derives LSM-type constraints on many-body ground states along with lattice model examples.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2308.00747","ref_index":258,"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":"The equation of motion forb implies that a is a flat gauge field, and therefore infinitesimal deformations of the locus wherea| = 0 do not change the correlation functions. This is similar to the usual argument for the topological nature of the Wilson lines in Chern-Simons theory. For q = 0 and d = 2, this argument can be made precise on the lattice using a discrete version of the BF theory from [258]. See Section 5.1.3 of [65]. In d > 3, the BF theory has infinitely many topological (simple) boundary conditions, since one can always stack a decoupled d − 1-dimensional TQFT to construct another one (see Sec- tion 2.4). When d = 3 , the space of topological boundary conditions of a given 2+1d TQFT 31There are generally different ways of gauging a global symmetry, which are related by the discrete torsion."},{"citing_arxiv_id":"2305.18296","ref_index":117,"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":"The most pressing question is whether we can derive genuinely new prop- erties of QFTs from non-invertible symmetries. Some interesting applications have been put forward in the context of the Standard Model, but they are still not quite as compelling as we would like them to be (e.g. the constraints on pion-decays can be derived without the use of non-invertible symmetries), see [18, 24, 39, 44, 57, 116, 117] for a selection of such applications. In 2d many powerful applications of fusion category symmetries are known [7,9] and one im- portant advance would be to derive similarly powerful statements in higher-dimensions. One obvious application is in the context of confinement/deconfinement, with some results in [28]. Symmetries in String Theory/Holography ."},{"citing_arxiv_id":"2205.09545","ref_index":45,"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":"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:1905.09566. [45] 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 (2020), no. 4 043086, [arXiv:2005.14178]. [46] T. Johnson-Freyd, (3+1)D topological orders with only a Z2-charged particle, arXiv:2011.11165. [47] Y . Choi, C. C'ordova, P.-S."},{"citing_arxiv_id":"2204.02407","ref_index":32,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"[30] Y. Liu, Y. Zou, and S. Ryu, Operator fusion from wavefunction overlaps: Universal finite-size corrections and application to Haagerup model , arXiv:2203.14992. [31] W. Ji and X.-G. Wen, Categorical symmetry and noninvertible anomaly in symmetry-breaking and topological phase transitions, Phys. Rev. Res. 2 (2020), no. 3 033417, [arXiv:1912.13492]. [32] 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 (2020), no. 4 043086, [ arXiv:2005.14178]. [33] J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, Kramers-Wannier duality from conformal defects, Phys. Rev. Lett. 93 (2004) 070601, [ cond-mat/0404051]."},{"citing_arxiv_id":"2111.01139","ref_index":51,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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}