FUSION RULES OF MODULAR INVARIANTS

DOI10.1142/S0129055X02001351zbMath1030.46074arXivmath/0204278OpenAlexW3101034624MaRDI QIDQ4420453

David E. Evans

Publication date: 17 August 2003

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

Full work available at URL: https://arxiv.org/abs/math/0204278

zbMATH Keywords

subfactorsModular invariants

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35)

Related Items (9)

A relative tensor product of subfactors over a modular tensor category ⋮ Spectral measures and generating series for nimrep graphs in subfactor theory. II: \(SU(3)\) ⋮ SUBFACTOR REALIZATION OF MODULAR INVARIANTS: II ⋮ LOCAL FIELDS IN BOUNDARY CONFORMAL QFT ⋮ Spectral measures and generating series for nimrep graphs in subfactor theory ⋮ Simple current modular invariants from braided subfactors ⋮ SU(3)-GOODMAN–DE LA HARPE–JONES SUBFACTORS AND THE REALIZATION OF SU(3) MODULAR INVARIANTS ⋮ Correspondences of ribbon categories ⋮ Spectral measures for \(G_2\)

Cites Work

• \({\mathbb{Z}}/N{\mathbb{Z}}\) conformal field theories
• Minimal index and braided subfactors
• A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
• New braided endomorphisms from conformal inclusions
• Operator algebras and conformal field theory. III: Fusion of positive energy representations of \(LSU(N)\) using bounded operators
• Modular invariants. Graphs and \(\alpha\)-induction for nets of subfactors. II
• Modular invariants, graphs and \(\alpha\)-induction for nets of subfactors. I
• Operator algebras and conformal field theory
• A duality for Hopf algebras and for subfactors. I
• The classification of affine \(SU(3)\) modular invariant partition functions
• Boundary conditions in rational conformal field theories
• Canonical tensor product subfactors
• Chiral observables and modular invariants.
• Modular invariants, graphs and \(\alpha\)-induction for nets of subfactors. III
• Index for subfactors
• From CFT to graphs
• Quasi-Galois symmetries of the modular \(S\)-matrix
• Localized endomorphisms of the chiral Ising model
• On \(\alpha\)-induction, chiral generators and modular invariants for subfactors
• Chiral structure of modular invariants for subfactors
• AN ALGEBRAIC FORMULATION OF LEVEL ONE WESS-ZUMINO-WITTEN MODELS
• BRAID STATISTICS IN LOCAL QUANTUM THEORY
• On finite subgroups of SU(2), simple Lie algebras, and the McKay correspondence
• INTEGRABLE LATTICE MODELS, GRAPHS AND MODULAR INVARIANT CONFORMAL FIELD THEORIES
• NETS OF SUBFACTORS
• Longo-Rehren subfactors arising from \(\alpha\)-induction.

This page was built for publication: FUSION RULES OF MODULAR INVARIANTS