3-dimensional defect TQFTs and their tricategories

DOI10.1016/j.aim.2020.107024zbMath1441.81125arXiv1603.01171OpenAlexW2292128400MaRDI QIDQ2302239

Catherine Meusburger, Gregor Schaumann, Nils Carqueville

Publication date: 25 February 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01171

zbMATH Keywords

topological quantum field theory3-categoriesgray categories

Mathematics Subject Classification ID

Quasi-Frobenius rings (16L60) Calabi-Yau theory (complex-analytic aspects) (32Q25) Topological field theories in quantum mechanics (81T45) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Topology and geometry of orbifolds (57R18) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items (14)

Frobenius-Schur indicators and the mapping class group of the torus ⋮ Stratified spaces, directed algebraic topology, and state-sum TQFTs ⋮ Truncated affine Rozansky-Witten models as extended TQFTs ⋮ Fermionization of fusion category symmetries in 1+1 dimensions ⋮ BPS states meet generalized cohomology ⋮ On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry ⋮ Fully extended \(r\)-spin TQFTs ⋮ State sum models with defects based on spherical fusion categories ⋮ A modular functor from state sums for finite tensor categories and their bimodules ⋮ Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases ⋮ Orbifolds of Reshetikhin-Turaev TQFTs ⋮ Line and surface defects in Reshetikhin-Turaev TQFT ⋮ On lattice models of gapped phases with fusion category symmetries ⋮ Domain walls between 3d phases of Reshetikhin-Turaev TQFTs

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