Modular Invariants and Twisted Equivariant K-theory
K-Theory and Homology
2008-07-28 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Operator Algebras
Abstract
Freed-Hopkins-Teleman expressed the Verlinde algebra as twisted equivariant K-theory. We study how to recover the full system (fusion algebra of defect lines), nimrep (cylindrical partition function), etc of modular invariant partition functions of conformal field theories associated to loop groups. We work out several examples corresponding to conformal embeddings and orbifolds. We identify a new aspect of the A-D-E pattern of SU(2) modular invariants.
Cite
@article{arxiv.0807.3759,
title = {Modular Invariants and Twisted Equivariant K-theory},
author = {David E. Evans and Terry Gannon},
journal= {arXiv preprint arXiv:0807.3759},
year = {2008}
}
Comments
69 pages, 9 figures