On \(\alpha\)-induction, chiral generators and modular invariants for subfactors
From MaRDI portal
Publication:1969061
DOI10.1007/s002200050765zbMath0948.46048arXivmath/9904109OpenAlexW2157141289MaRDI QIDQ1969061
Jens Böckenhauer, Yasuyuki Kawahigashi, David E. Evans
Publication date: 22 June 2000
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9904109
algebraic quantum field theorymodular invariancefusion rulesJones indexlocal netsnets of subfactors\(\alpha\)-inductionapproach of Longo and Rehrenchiral generatorsmodular invariant mass
Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Subfactors and their classification (46L37)
Related Items
Spectral measures associated to rank two Lie groups and finite subgroups of \(\mathrm{GL}(2,\mathbb Z)\), Generalized ADE classification of topological boundaries and anyon condensation, Local conformal nets arising from framed vertex operator algebras, Topological sectors and a dichotomy in conformal field theory, Comments about quantum symmetries of \(\text{SU}(3)\) graphs, Galois correspondence and Fourier analysis on local discrete subfactors, Racah-Wigner quantum \(6j\) symbols, Ocneanu cells for \(A_N\) diagrams and quantum groupoids, Level bounds for exceptional quantum subgroups in rank two, Bantay's trace in unitary modular tensor categories, Duality and defects in rational conformal field theory, Braided categories of endomorphisms as invariants for local quantum field theories, Examples of subfactors from conformal field theory, A relative tensor product of subfactors over a modular tensor category, Anyonic chains - \(\alpha\)-induction - CFT - defects - subfactors, Tambara-Yamagami, loop groups, bundles and KK-theory, Subfactors and mathematical physics, A mathematical theory of gapless edges of 2d topological orders. I, Constructing non-semisimple modular categories with local modules, A remark on matrix product operator algebras, anyons and subfactors, Anyon condensation and tensor categories, Quantum operations on conformal nets, Haploid algebras in \(C^*\)-tensor categories and the Schellekens list, Generalized orbifold construction for conformal nets, Tensor Categories for Vertex Operator Superalgebra Extensions, On intermediate subfactors of Goodman-de la Harpe-Jones subfactors, The fusion algebra of bimodule categories, Spectral measures and generating series for nimrep graphs in subfactor theory. II: \(SU(3)\), The Nakayama automorphism of the almost Calabi-Yau algebras associated to \(\mathrm{SU}(3)\) modular invariants, On the homology of almost Calabi-Yau algebras associated to \(\mathrm{SU}(3)\) modular invariants., Gapless edges of 2d topological orders and enriched monoidal categories, Conformal quantum field theory and subfactors, \(A_2\)-planar algebras. II: Planar modules, The exoticness and realisability of twisted Haagerup--Izumi modular data, Near-group fusion categories and their doubles, The rank of đș-crossed braided extensions of modular tensor categories, Classification of module categories for \(SO (3)_{2m} \), Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries, Projections in string theory and boundary states for Gepner models., From operator algebras to superconformal field theory, Boundary conditions in rational conformal field theories., Solitons in affine and permutation orbifolds, On the Jones index values for conformal subnets, Integrable lattice realizations of conformal twisted boundary conditions, Spectral measures and generating series for nimrep graphs in subfactor theory, On Ocneanu's theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams, THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGOâREHREN INCLUSIONS II: EXAMPLES, Antisymmetric characters and Fourier duality, FUSION RULES OF MODULAR INVARIANTS, Algebraic Conformal Quantum Field Theory in Perspective, Phase boundaries in algebraic conformal QFT, How to remove the boundary in CFT --- an operator algebraic procedure, On representing some lattices as lattices of intermediate subfactors of finite index, Simple current modular invariants from braided subfactors, Quantum Galois correspondence for subfactors, Two-dimensional topological order and operator algebras, An application of mirror extensions, The Grothendieck ring of a family of spherical categories, TFT construction of RCFT correlators. I: Partition functions, Reconstruction and local extensions for twisted group doubles, and permutation orbifolds, Spectral measures for \(G_2\), On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories, Modular Invariants and Twisted Equivariant K-theory II: Dynkin diagram symmetries, A remark on gapped domain walls between topological phases, A remark on CFT realization of quantum doubles of subfactors: case index \(<4\)
