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arXiv · hep-th/0001158

Finite Group Modular Data

A. Coste·T. Gannon·Ph. Ruelle
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Abstract

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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A. Coste, T. Gannon, Ph. Ruelle. 2000-02-18. Finite Group Modular Data. https://doi.org/10.1016/s0550-3213(00)00285-6

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