{"total":19,"items":[{"citing_arxiv_id":"2607.07786","ref_index":15,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging","primary_cat":"hep-th","submitted_at":"2026-07-08T18:00:00+00:00","verdict":"ACCEPT","verdict_confidence":"HIGH","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Chiral tube algebras unify chiral algebras and TDLs by acting on twisted defect spaces via local and non-local currents, with modules isomorphic to twisted modules of the parent algebras.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.26331","ref_index":13,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Quantum Harish-Chandra bimodules at roots of unity and affine Hecke 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curve","primary_cat":"math.AG","submitted_at":"2026-06-04T12:29:13+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Introduces Higgs bundles on the Fargues-Fontaine curve, establishes a BNR correspondence, and shows an injective étale-stack map from B_dR^+-affine Springer fibers to the Hitchin fiber inducing category equivalence on geometric points.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.05965","ref_index":54,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"On strong identities of almost-canonically seminormed rings","primary_cat":"math.QA","submitted_at":"2026-06-04T10:03:52+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Characterizes the strong identity condition for almost-canonically seminormed rings via orthogonal expansions, projectivity of canonical modules, and Morita equivalences from Zhu algebras, equating smoothing to Morita equivalence for CFT-type VOAs.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.02249","ref_index":9,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Presentations for categories of crystals","primary_cat":"math.RT","submitted_at":"2026-06-01T13:41:14+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":"2606.00961","ref_index":77,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"The conflated expression graph for an arbitrary permutation","primary_cat":"math.CO","submitted_at":"2026-05-31T02:30:28+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"The conflated expression graph for an arbitrary permutation has unique min and max elements, and every reduced expression lies on a maximal chain from source to sink.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.31601","ref_index":50,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Twin Phases: Intrinsic Deconfined Quantum Criticality","primary_cat":"cond-mat.str-el","submitted_at":"2026-05-29T17:59:38+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Twin phases share generalized charges under a symmetry, so direct transitions between them are intrinsically beyond-Landau deconfined quantum critical points without hidden symmetry breaking.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.31602","ref_index":90,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Twin Algebras: Condensable Algebras beyond Anyons","primary_cat":"cond-mat.str-el","submitted_at":"2026-05-29T17:59:38+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Twin condensable algebras are introduced as condensable algebras with identical anyon decompositions but inequivalent algebra structures, yielding distinct symmetric phases in group-theoretical topological orders.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.30418","ref_index":42,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models","primary_cat":"hep-th","submitted_at":"2026-05-28T18:00:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Hodge loci in Calabi-Yau sigma models are identified with non-trivial categories of topological defects preserving N=(2,2) SCA and invertible on spectral-flow generators, with CM structure at special points.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.21327","ref_index":71,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spaces","primary_cat":"math-ph","submitted_at":"2026-05-20T15:53:14+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Any unitary fusion category can be realized as symmetries on tensor products of infinite-dimensional Hilbert spaces via stabilized anyon chains, with equivalence between different chains of the same category.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2511.09991","ref_index":4,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Properly Outer Actions of Tensor Categories on C$^*$-algebras","primary_cat":"math.OA","submitted_at":"2025-11-13T05:50:27+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Proper outerness is automatic for finite index outer endomorphisms of simple C*-algebras, implying automatic freeness for outer actions of unitary tensor categories.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2507.12328","ref_index":11,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"The disoriented skein and iquantum Brauer categories","primary_cat":"math.QA","submitted_at":"2025-07-16T15:22:15+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"The disoriented skein category is defined and shown equivalent to the iquantum Brauer category, serving as an interpolating module category with full incarnation functors to modules over iquantum enveloping algebras.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2507.05185","ref_index":43,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"An operator algebraic approach to fusion category symmetry on the lattice","primary_cat":"math-ph","submitted_at":"2025-07-07T16:42:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"MODERATE","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Develops an operator-algebraic framework for fusion category symmetries on (1+1)D lattices, proving realization conditions via integer dimensions and fiber functors plus anomaly-enforced gaplessness theorems.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2409.01005","ref_index":28,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"On Hecke and asymptotic categories for a family of complex reflection groups","primary_cat":"math.RT","submitted_at":"2024-09-02T07:28:44+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Constructs Hecke algebras and asymptotic versions for G(M,M,N) complex reflection groups by generalizing the dihedral case.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2405.05964","ref_index":71,"ref_count":1,"confidence":0.88,"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":"2305.18296","ref_index":2,"ref_count":1,"confidence":0.88,"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":"constructions, an important laboratory are 2d QFTs, where many ideas that have higher- dimensional generalizations are already present, and very well understood. 1.2 Non-Invertible Symmetries Non-Invertible Symmetries in 2d. In 2d such non-invertible, i.e. not group-like, sym- metries are in fact very well known and studied. What replaces groups in this instances are fusion categories [2], which have a long history in 2d QFTs, see [3-10] for some of the seminal papers. A particularly interesting set of examples arise in 2d rational conformal field theories (RCFTs). Rationality implies a finite set of conformal primaries, which in turn label the so-called Verlinde topological lines, which compose according to the fusion rules of the RCFT."},{"citing_arxiv_id":"2209.07471","ref_index":33,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Topological symmetry in quantum field theory","primary_cat":"hep-th","submitted_at":"2022-09-15T17:10:11+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Authors introduce a TFT-based framework for finite topological symmetries in QFT, including gauging, condensation defects, and duality defects, with an appendix on finite homotopy theories.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}