Critical Phenomena, modular invariants and operator algebras

Details Critical Phenomena, modular invariants and operator algebras Critical Phenomena, modular invariants and operator algebras

2002-04-23

arxiv.org/abs/math/0204281v1

Mathematics

Operator Algebras

27 pages

Scientific paper

We review the framework subfactors provide for understanding modular invariants. We discuss the structure of a generalized Longo-Rehren subfactor and the relationship between the coupling matrices of such subfactors, modular invariance and local extensions. We relate results of Kostant, in the context of the McKay correspondence for finite subgroups of SU(2), to subfactors. A direct proof of how alpha-induction produces modular invariants is presented.

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