A new proof of a formula for the type $A_2$ fusion rules
Amy Barker, David Swinarski, John Wu, and Lauren Vogelstein
TL;DR
This paper presents a novel proof for the fusion rules in type A2 Lie algebras, utilizing symbolic evaluation of the Kac-Walton algorithm to provide an alternative derivation.
Contribution
It introduces a new proof method for the A2 fusion rules by applying symbolic evaluation of the Kac-Walton algorithm, offering an alternative to previous proofs.
Findings
New proof of A2 fusion rules established
Demonstrates the effectiveness of symbolic evaluation of the Kac-Walton algorithm
Provides insights into the structure of fusion rules in Lie algebra theory
Abstract
We give a new proof of a formula for the fusion rules for type due to B\'egin, Mathieu, and Walton. Our approach is to symbolically evaluate the Kac-Walton algorithm.
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