Tambara-Yamagami, loop groups, bundles and KK-theory
DOI10.1016/j.aim.2023.109002zbMath1530.19002arXiv2003.09672OpenAlexW3012889200MaRDI QIDQ6046526
Publication date: 11 May 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.09672
conformal field theorysubfactorsreconstruction\(KK\)-theoryquantum doublefusion categoriesTambara-Yamagami
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) (K)-theory and operator algebras (including cyclic theory) (46L80) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Subfactors and their classification (46L37) Kasparov theory ((KK)-theory) (19K35) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-unitary fusion categories and their doubles via endomorphisms
- Loop groups and twisted \(K\)-theory. III
- The exoticness and realisability of twisted Haagerup--Izumi modular data
- Conformal nets associated with lattices and their orbifolds
- TFT construction of RCFT correlators. III: Simple currents
- Topological gauge theories and group cohomology
- On braided fusion categories. I
- D-branes, RR-fields and duality on noncommutative manifolds
- Modular invariants and twisted equivariant \(K\)-theory
- The longitudinal index theorem for foliations
- Simple WZW currents
- Tensor categories with fusion rules of self-duality for finite abelian groups
- Subalgebras of infinite \(C^*\)-algebras with finite Watatani indices. I: Cuntz algebras
- Simple currents versus orbifolds with discrete torsion -- a complete classification
- Module categories, weak Hopf algebras and modular invariants
- Introduction to vertex operator algebras and their representations
- Classification of irreducible modules for the vertex operator algebra \(V_{L}^{+}\): general case.
- Modular invariants from subfactors: type I coupling matrices and intermediate subfactors
- \(K\)-theory and Ramond-Ramond charge
- A Fourier-Mukai transform for real torus bundles.
- Modular invariants, graphs and \(\alpha\)-induction for nets of subfactors. III
- Module categories over graded fusion categories
- Bivariant K-theory via correspondences
- On \(\alpha\)-induction, chiral generators and modular invariants for subfactors
- On the quantization of conjugacy classes
- Dirac families for loop groups as matrix factorizations
- Modular data: the algebraic combinatorics of conformal field theory
- Modular Invariants and Twisted Equivariant K-theory II: Dynkin diagram symmetries
- Loop groups and twisted K -theory I
- TWISTED MODULES OVER LATTICE VERTEX ALGEBRAS
- Topological Quantum Field Theories from Compact Lie Groups
- INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
- GLUING AND SHIFTING LATTICE CONSTRUCTIONS AND RATIONAL EQUIVALENCE
- On the Centre of a Representation Group
- THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES
- From Vertex Operator Algebras to Conformal Nets and Back
- Loop groups and twisted $K$-theory II
- Higher-Dimensional Algebra VII: Groupoidification
- Tensor Categories
- Twisted equivariantK-theory with complex coefficients
- BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS
- The Use of Bilinear Mappings in the Classification of Groups of Class 2
- Reconstruction and local extensions for twisted group doubles, and permutation orbifolds
- Longo-Rehren subfactors arising from \(\alpha\)-induction.