Extending the trace of a pivotal monoidal functor
DOI10.1007/s00220-020-03909-8zbMath1460.81081arXiv1911.09024OpenAlexW2991120307MaRDI QIDQ2658934
Publication date: 25 March 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.09024
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of selfadjoint operator algebras to physics (46L60) (S)-matrix theory, etc. in quantum theory (81U20) Subfactors and their classification (46L37) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Fusion categories, modular tensor categories, modular functors (18M20)
Cites Work
- Traces on module categories over fusion categories
- Cardy algebras and sewing constraints. I
- Functoriality of the center of an algebra
- Uniqueness of open/closed rational CFT with given algebra of open states
- Cardy condition for open-closed field algebras
- Fixing the functoriality of Khovanov homology
- The half-twist for \(U_q(\mathfrak g)\) representations
- The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
- Modular invariants, graphs and \(\alpha\)-induction for nets of subfactors. I
- Module categories, weak Hopf algebras and modular invariants
- On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
- Module categories over representations of \(\text{SL}_q(2)\) and graphs
- Central exact sequences of tensor categories, equivariantization and applications
- On fusion categories.
- Exact Sequences of Tensor Categories
- THE CAPPELLI–ITZYKSON–ZUBER A-D-E CLASSIFICATION
- Quantum Symmetries in Theoretical Physics and Mathematics
- DECOMPOSING THE TUBE CATEGORY
- Tensor Categories
- Vertex operator algebras, the Verlinde conjecture, and modular tensor categories
- Quantum invariants of knots and 3-manifolds
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