Gapped boundary theories in three dimensions
From MaRDI portal
Publication:2244918
DOI10.1007/s00220-021-04192-xzbMath1479.81063arXiv2006.10200OpenAlexW3207306288MaRDI QIDQ2244918
Daniel S. Freed, Constantin Teleman
Publication date: 12 November 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.10200
Topological field theories in quantum mechanics (81T45) Boundary value problems on manifolds (58J32) Other types of cobordism (57R90) Fusion categories, modular tensor categories, modular functors (18M20)
Related Items
Truncated affine Rozansky-Witten models as extended TQFTs, Boundary and domain wall theories of 2d generalized quantum double model, Fermionization of fusion category symmetries in 1+1 dimensions, Tensor network approach to electromagnetic duality in \((3+1)\)d topological gauge models, Asymptotic density of states in 2d CFTs with non-invertible symmetries, Higher gauging and non-invertible condensation defects, Duality defects in \(E_8\), When does a three-dimensional Chern-Simons-Witten theory have a time reversal symmetry?, FUSION 2-CATEGORIES WITH NO LINE OPERATORS ARE GROUPLIKE, Topological dualities in the Ising model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tensor products of finitely cocomplete and abelian categories
- Models for gapped boundaries and domain walls
- (Op)lax natural transformations, twisted quantum field theories, and ``even higher Morita categories
- Monoidal supercategories
- Topological boundary conditions in abelian Chern-Simons theory
- Classical and quantum conformal field theory
- Topological gauge theories and group cohomology
- Quantum field theory and the Jones polynomial
- On holomorphic factorization of WZW and coset models
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Higher algebraic structures and quantization
- Tori detect invertibility of topological field theories
- Fermionic 6j-symbols in superfusion categories
- Ribbon graphs and their invariants derived from quantum groups
- On central extensions of mapping class groups
- Topological quantum field theories derived from the Kauffman bracket
- Invertible braided tensor categories
- A note on the \((\infty,n)\)-category of cobordisms
- Reflection positivity and invertible topological phases
- A mathematical theory of gapless edges of 2d topological orders. I
- Invariants of 3-manifolds via link polynomials and quantum groups
- The higher Morita category of \(\mathbb{E}_n\)-algebras
- Bicategories for boundary conditions and for surface defects in 3-d TFT
- The cobordism category and Waldhausen's K-theory
- On the Classification of Topological Field Theories
- Spectral asymmetry and Riemannian Geometry. I
- On cobordism of manifolds with corners
- Integrating quantum groups over surfaces
- S-Structures for k -Linear Categories and the Definition of a Modular Functor
- Higher-dimensional algebra and topological quantum field theory
- The Witt group of non-degenerate braided fusion categories
- What Chern–Simons theory assigns to a point
- Dualizable tensor categories
- On the unicity of the theory of higher categories
- Lectures on Field Theory and Topology
- Tensor Categories
- On manifolds with corners
- Higher Topos Theory (AM-170)
- Spin TQFTs and fermionic phases of matter
- On dualizability of braided tensor categories
- Quantum invariants of knots and 3-manifolds
