A new perspective on the Frenkel-Zhu fusion rule theorem

Abstract

In this paper we prove a formula for fusion coefficients of affine Kac-Moody algebras first conjectured by Walton [Wal2], and rediscovered in [Fe]. It is a reformulation of the Frenkel-Zhu affine fusion rule theorem [FZ], written so that it can be seen as a beautiful generalization of the classical Parasarathy-Ranga Rao-Varadarajan tensor product theorem [PRV].

19 pages, no figures, uses conm-p-l.cls style file

References in corpus (3)

• Twisted K-theory and loop group representations
• Branes on Group Manifolds, Gluon Condensates, and twisted K-theory
• Fusion algebras, symmetric polynomials, orbits of N-groups, and rank-level duality

Cited by in corpus (7)

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• Non-negative integral level affine Lie algebra tensor categories and their associativity isomorphisms
• Bases of Feigin-Stoyanovsky's type subspaces for $C_{\ell }^{(1)}$