Fusion rules for admissible representations of affine algebras: the case of $A_2^{(1)}$

Abstract

We derive the fusion rules for a basic series of admissible representations of $\widehat{sl}(3)$ at fractional level $3/p-3$. The formulae admit an interpretation in terms of the affine Weyl group introduced by Kac and Wakimoto. It replaces the ordinary affine Weyl group in the analogous formula for the fusion rules multiplicities of integrable representations. Elements of the representation theory of a hidden finite dimensional graded algebra behind the admissible representations are briefly discussed.

containing two TEX files: main file using input files harvmac.tex, amssym.def, amssym.tex, 19p.; file with figures using XY-pic package, 6p. Correction in the definition of general shifted weight diagram

References in corpus (1)

• $A_1^{(1)}$ Admissible Representations -- Fusion Transformations and Local Correlators

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