Line and surface defects in Reshetikhin-Turaev TQFT

DOI10.4171/QT/121zbMath1427.81153arXiv1710.10214OpenAlexW2765573623MaRDI QIDQ2327757

Nils Carqueville, Gregor Schaumann, Ingo Runkel

Publication date: 15 October 2019

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.10214

zbMATH Keywords

modular tensor categorytopological quantum field theorydefect dataReshetikhin-Turaev TQFTstratified bordismtopological invariant of embedding

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items

Fermionization of fusion category symmetries in 1+1 dimensions ⋮ Symmetry TFTs for non-invertible defects ⋮ Decomposition, Condensation Defects, and Fusion ⋮ Higher gauging and non-invertible condensation defects ⋮ Frobenius monoidal functors from (co)Hopf adjunctions ⋮ Mapping class group representations and Morita classes of algebras ⋮ State sum models with defects based on spherical fusion categories ⋮ 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 ⋮ Orbifolds of Reshetikhin-Turaev TQFTs ⋮ Symmetries and strings of adjoint \(\mathrm{QCD}_2\) ⋮ On lattice models of gapped phases with fusion category symmetries ⋮ Domain walls between 3d phases of Reshetikhin-Turaev TQFTs

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