Orbifolds of Reshetikhin-Turaev TQFTs

zbMath1440.57016arXiv1809.01483MaRDI QIDQ5112049

Ingo Runkel, Nils Carqueville, Gregor Schaumann

Publication date: 28 May 2020

Full work available at URL: https://arxiv.org/abs/1809.01483

zbMATH Keywords

modular tensor categoriestopological quantum field theoryorbifold constructionReshetikhin-Turaev theory

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items (9)

Fermionization of fusion category symmetries in 1+1 dimensions ⋮ Decomposition, Condensation Defects, and Fusion ⋮ Asymptotic density of states in 2d CFTs with non-invertible symmetries ⋮ Higher gauging and non-invertible condensation defects ⋮ Fibonacci-type orbifold data in Ising modular categories ⋮ Constructing modular categories from orbifold data ⋮ Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases ⋮ On lattice models of gapped phases with fusion category symmetries ⋮ Domain walls between 3d phases of Reshetikhin-Turaev TQFTs

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