Modular invariants. Graphs and \(\alpha\)-induction for nets of subfactors. II

DOI10.1007/s002200050523zbMath1151.46316arXivhep-th/9805023OpenAlexW2599340093MaRDI QIDQ1284086

David E. Evans, Jens Böckenhauer

Publication date: 28 November 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9805023

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Subfactors and their classification (46L37)

Related Items

Algebraic orbifold conformal field theories ⋮ Orders and dimensions for sl(2) or sl(3) module categories and boundary conformal field theories on a torus ⋮ Reducibility of quantum representations of mapping class groups ⋮ Galois correspondence and Fourier analysis on local discrete subfactors ⋮ Anyonic chains - \(\alpha\)-induction - CFT - defects - subfactors ⋮ Subfactors and mathematical physics ⋮ On intermediate subfactors of Goodman-de la Harpe-Jones subfactors ⋮ 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. ⋮ On induction for twisted representations of conformal nets ⋮ \(A_2\)-planar algebras. II: Planar modules ⋮ Classification of module categories for \(SO (3)_{2m} \) ⋮ Solitons and nonsmooth diffeomorphisms in conformal nets ⋮ Boundary conditions in rational conformal field theories. ⋮ The many faces of Ocneanu cells ⋮ On the Jones index values for conformal subnets ⋮ Torus structure on graphs and twisted partition functions for minimal and affine models ⋮ On Ocneanu's theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams ⋮ FUSION RULES OF MODULAR INVARIANTS ⋮ Symmetries and strings of adjoint \(\mathrm{QCD}_2\) ⋮ Algebraic Conformal Quantum Field Theory in Perspective ⋮ On representing some lattices as lattices of intermediate subfactors of finite index ⋮ Quantum Galois correspondence for subfactors ⋮ Boundary conditions in rational conformal field theories ⋮ An application of mirror extensions ⋮ Orbifold aspects of the Longo--Rehren subfactors ⋮ Spectral measures for \(G_2\) ⋮ Twisted partition functions for ADE boundary conformal field theories and Ocneanu algebras of quantum symmetries ⋮ A remark on gapped domain walls between topological phases