Fusion Rings Related to Affine Weyl Groups

Details Fusion Rings Related to Affine Weyl Groups Fusion Rings Related to Affine Weyl Groups

2000-07-27

arxiv.org/abs/hep-th/0007219v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages; two figures. Talk at ``Lie Theory and Its Applications in Physics III'', Clausthal, 11-14 July, 1999, to appear in t

Scientific paper

The construction of the fusion ring of a quasi-rational CFT based on $\hat{sl}(3)_k$ at generic level $k\not \in {\Bbb Q}$ is reviewed. It is a commutative ring generated by formal characters, elements in the group ring ${\Bbb Z}[\tilde{W}]$ of the extended affine Weyl group $\tilde{W}$ of $\hat{sl}(3)_k$. Some partial results towards the $\hat{sl}(4)_k$ generalisation of this character ring are presented.

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