Indecomposable Fusion Products

Details Indecomposable Fusion Products Indecomposable Fusion Products

1996-04-04

arxiv.org/abs/hep-th/9604026v1

Nucl.Phys.B477:293-318,1996

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX

Scientific paper

10.1016/0550-3213(96)00364-1

We analyse the fusion products of certain representations of the Virasoro algebra for c=-2 and c=-7 which are not completely reducible. We introduce a new algorithm which allows us to study the fusion product level by level, and we use this algorithm to analyse the indecomposable components of these fusion products. They form novel representations of the Virasoro algebra which we describe in detail. We also show that a suitably extended set of representations closes under fusion, and indicate how our results generalise to all (1,q) models.

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