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Fusion Rings Related to Affine Weyl Groups

P. Furlan, V. B. Petkova

hep-tharXiv:hep-th/0007219

Abstract

The construction of the fusion ring of a quasi-rational CFT based on sl(3)k at generic level k ∈ Q is reviewed. It is a commutative ring generated by formal characters, elements in the group ring Z[W] of the extended affine Weyl group W of sl(3)k. Some partial results towards the sl(4)k generalisation of this character ring are presented.

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