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Characters of sl(4)k fusion algebra at non-rational level

P. Furlan, V. B. Petkova

hep-tharXiv:hep-th/0110017

Abstract

We construct the fusion ring of a quasi-rational sl(4)k WZNW theory at generic level k ∈ Q. It is generated by commutative elements in the group ring Z[W] of the affine Weyl group W which extend polynomially the formal characters of finite dimensional representations of sl(4).

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