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An Observation on Finite Groups and WZW Modular Invariants

Bo Feng·Yang-Hui He
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Abstract

In this short note, inspired by much recent activity centered around attempts to formulate various correspondences between the classification of affine SU(k) WZW modular-invariant partition functions and that of discrete finite subgroups of SU(k), we present a small and perhaps interesting observation in this light. In particular we show how the groups generated by the permutation of the terms in the exceptional Affine SU(2)-WZW invariants encode the corresponding exceptional SU(2) subgroups.

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Bo Feng, Yang-Hui He. 2000-09-11. An Observation on Finite Groups and WZW Modular Invariants. https://arxiv.org/abs/hep-th/0009077

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