P. Furlan, A. Ch. Ganchev, V. B. Petkova
Published 1997-09-15, updated 1997-10-26Version 3
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.
Comments: 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
Journal: Nucl.Phys. B518 (1998) 645-668
$A_1^{(1)}$ Admissible Representations -- Fusion Transformations and Local Correlators
Free field realization of SL(2) correlators for admissible representations, and hamiltonian reduction for correlators
Conformal blocks for admissible representations of $SL(2)$ current algebra
