The automorphisms of affine fusion rings

2000/02/07 by T. Gannon, Gannon, T. · 1 citation
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.math/0002044

24 pages, plain tex

arxiv created 2000/02/07 · arxiv updated 2009/11/30

Abstract

The fusion rings associated to affine Kac-Moody algebras appear in several different contexts in math and mathematical physics. In this paper we find all automorphisms of all affine fusion rings, or equivalently the symmetries of the corresponding fusion coefficients. Most of these are directly related to symmetries of the corresponding Coxeter-Dynkin diagram. We also find all pairs of isomorphic affine fusion rings.

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• Reconstruction of tensor categories of type G₂

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