Finite Group Modular Data

Details Finite Group Modular Data Finite Group Modular Data

2000-01-24

arxiv.org/abs/hep-th/0001158v2

Nucl.Phys. B581 (2000) 679-717

Physics

High Energy Physics

High Energy Physics - Theory

38 pp, latex; 5 references added, "questions" section touched-up

Scientific paper

10.1016/S0550-3213(00)00285-6

In a remarkable variety of contexts appears the modular data associated to finite groups. 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.

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