期刊
NUCLEAR PHYSICS B
卷 581, 期 3, 页码 679-717出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0550-3213(00)00285-6
关键词
conformal field theory; finite groups; modular invariance; fusion algebra
The modular data associated to finite groups is remarkably ubiquitous. And yet, compared to the well-understood affine algebra modular data, the general properties of this finite group modular data has been poorly explored. In this paper we undergo such a study. We identify some senses in which the finite group data is similar to, and different from, the affine data. We also consider the data arising from a cohomological twist, and write down, explicitly in terms of quantities associated directly with the finite group, the modular S and T matrices for a general twist, for what appears to be the first time in print. (C) 2000 Elsevier Science B.V. All rights reserved.
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