Fusion of twisted representations

Details Fusion of twisted representations Fusion of twisted representations

1996-07-04

arxiv.org/abs/hep-th/9607036v1

Int.J.Mod.Phys. A12 (1997) 5183-5208

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LATEX

Scientific paper

10.1142/S0217751X97002784

The comultiplication formula for fusion products of untwisted representations of the chiral algebra is generalised to include arbitrary twisted representations. We show that the formulae define a tensor product with suitable properties, and determine the analogue of Zhu's algebra for arbitrary twisted representations. As an example we study the fusion of representations of the Ramond sector of the N=1 and N=2 superconformal algebra. In the latter case, certain subtleties arise which we describe in detail.

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