Reshetikhin-Turaev TQFTs close under generalised orbifolds

DOI10.1007/s00220-024-05068-6MaRDI QIDQ6629010

Gregor Schaumann, Vincentas Mulevičius, Nils Carqueville, Ingo Runkel, Daniel Scherl

Publication date: 29 October 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Differential topology (57Rxx) Categorical structures (18Dxx)

Cites Work

• Rigidity and defect actions in Landau-Ginzburg models
• TFT construction of RCFT correlators. I: Partition functions
• Topological quantum field theories derived from the Kauffman bracket
• 3-dimensional TQFTs from non-semisimple modular categories
• Domain walls between 3d phases of Reshetikhin-Turaev TQFTs
• 3-dimensional defect TQFTs and their tricategories
• Line and surface defects in Reshetikhin-Turaev TQFT
• Monoidal categories and topological field theory
• Bicategories for boundary conditions and for surface defects in 3-d TFT
• On fusion categories.
• Orbifolds of \(n\)-dimensional defect TQFTs
• Constructing modular categories from orbifold data
• Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
• Extra structure and the universal construction for the Witten-Reshetikhin-Turaev TQFT
• The Witt group of non-degenerate braided fusion categories
• Orbifolds of Reshetikhin-Turaev TQFTs
• Tensor Categories
• Extending Triangulations
• Quantum invariants of knots and 3-manifolds
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