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A new proof of a formula for the type $A_2$ fusion rules

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arxiv 1408.4353 v1 pith:WWW74Y2X submitted 2014-08-19 math.RT

Amy Barker , David Swinarski , John Wu , Lauren Vogelstein This is my paper · ORCID
classification math.RT
keywords formulafusionproofrulestypealgorithmapproachegin
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abstract

We give a new proof of a formula for the fusion rules for type $A_2$ due to B\'egin, Mathieu, and Walton. Our approach is to symbolically evaluate the Kac-Walton algorithm.

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  1. On local fields invariant under the action of topological defects

    hep-th 2025-05 conditional novelty 7.0 of 10

    Every special triple of representations in SU(2) and SU(3) WZW theories contains a simple current, fully classifying the boundary operators invariant under topological defect junctions in these models.

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