Characters of $\hat{sl}(4)_k$ fusion algebra at non-rational level

Details Characters of $\hat{sl}(4)_k$ fusion algebra at non-rational level Characters of $\hat{sl}(4)_k$ fusion algebra at non-rational level

2001-10-02

arxiv.org/abs/hep-th/0110017v1

J.Phys. A35 (2002) L319-L326

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, harvmac.tex

Scientific paper

10.1088/0305-4470/35/23/101

We construct the fusion ring of a quasi-rational $\hat{sl}(4)_k$ WZNW theory
at generic level $k \not\in Q$. It is generated by commutative elements in the
group ring $Z[\tilde{W}]$ of the affine Weyl group $\tilde{W}$ which extend
polynomially the formal characters of finite dimensional representations of
$sl(4)$.

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