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

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

1997-09-15

arxiv.org/abs/hep-th/9709103v3

Nucl.Phys. B518 (1998) 645-668

Physics

High Energy Physics

High Energy Physics - Theory

containing two TEX files: main file using input files harvmac.tex, amssym.def, amssym.tex, 19p.; file with figures using XY-pi

Scientific paper

10.1016/S0550-3213(98)00180-1

We derive the fusion rules for a basic series of admissible representations of $\hat{sl}(3)$ 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.

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