English

An Observation on Finite Groups and WZW Modular Invariants

High Energy Physics - Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0009077,
  title  = {An Observation on Finite Groups and WZW Modular Invariants},
  author = {Bo Feng and Yang-Hui He},
  journal= {arXiv preprint arXiv:hep-th/0009077},
  year   = {2007}
}

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13 pages