Critical Phenomena, modular invariants and operator algebras
Operator Algebras
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0204281,
title = {Critical Phenomena, modular invariants and operator algebras},
author = {David E Evans},
journal= {arXiv preprint arXiv:math/0204281},
year = {2007}
}
Comments
27 pages