Locality and modular invariance in 2D conformal QFT

Abstract

The relations and differences between various classification problems arising in the context of local two-dimensional conformal QFT, modular invariants, and subfactors are discussed. The extent to which locality implies modular invariance, is exhibited.

16 pages, contribution to "Mathematical Physics in Mathematics and Physics", Siena, June 20-25, 2000

References in corpus (6)

• Multi-interval Subfactors and Modularity of Representations in Conformal Field Theory
• Modular Invariants, Graphs and $\alpha$-Induction for Nets of Subfactors. III
• Applications of braided endomorphisms from conformal inclusions
• On $\alpha$-induction, chiral generators and modular invariants for subfactors
• The Classification of SU(3) Modular Invariants Revisited
• Characterizing Invariants for Local Extensions of Current Algebras

Cited by in corpus (6)

• Classification of Local Conformal Nets. Case c < 1
• Local Nature of Coset Models
• Tensor categories: A selective guided tour
• Topological and conformal field theory as Frobenius algebras
• Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions
• Lectures on Algebraic Quantum Field Theory and Operator Algebras