Reconstruction and local extensions for twisted group doubles, and permutation orbifolds

DOI10.1090/tran/8575zbMath1486.81155arXiv1804.11145OpenAlexW2798955764MaRDI QIDQ5863064

Terry Gannon, David E. Evans

Publication date: 10 March 2022

Full work available at URL: https://arxiv.org/abs/1804.11145

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) (K)-theory and operator algebras (including cyclic theory) (46L80) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items (7)

Tambara-Yamagami, loop groups, bundles and KK-theory ⋮ Subfactors and mathematical physics ⋮ Minimal nondegenerate extensions ⋮ Vanishing of categorical obstructions for permutation orbifolds ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Higher width moonshine ⋮ Galois action on VOA gauge anomalies

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