An algorithm for twisted fusion rules
T. Quella, I. Runkel, C. Schweigert
TL;DR
This paper introduces an efficient algorithm for computing fusion rules of twisted representations in affine Lie algebras, relevant for WZW orbifold and boundary theories, advancing computational methods in conformal field theory.
Contribution
The paper presents a novel algorithm that significantly improves the calculation of fusion rules for twisted affine Lie algebra representations.
Findings
Algorithm efficiently computes twisted fusion rules
Facilitates analysis of WZW orbifold theories
Provides NIM-reps of WZW fusion rules
Abstract
We present an algorithm for an efficient calculation of the fusion rules of twisted representations of untwisted affine Lie algebras. These fusion rules appear in WZW orbifold theories and as annulus coefficients in boundary WZW theories; they provide NIM-reps of the WZW fusion rules.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Polynomial and algebraic computation · Model Reduction and Neural Networks