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Nonsemisimple Fusion Algebras and the Verlinde Formula

J. Fuchs, S. Hwang, A. M. Semikhatov, I. Yu. Tipunin

hep-tharXiv:hep-th/0306274

Abstract

We find a nonsemisimple fusion algebra Fp associated with each (1,p) Virasoro model. We present a nonsemisimple generalization of the Verlinde formula which allows us to derive Fp from modular transformations of characters.

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