Quasi-rational fusion products

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages (plain TeX)

Scientific paper

10.1142/S0217979294001597

Fusion is defined for arbitrary lowest weight representations of
$W$-algebras, without assuming rationality. Explicit algorithms are given. A
category of quasirational representations is defined and shown to be stable
under fusion. Conjecturally, it may coincide with the category of
representations of finite quantum dimensions.

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