Fusion rings for degenerate minimal models

Details Fusion rings for degenerate minimal models Fusion rings for degenerate minimal models

2000-03-31

arxiv.org/abs/math/0003225v3

Mathematics

Quantum Algebra

Revised and enlarged version. It includes all the results from math.QA/0101165 (to appear in Journal of Algebra)

Scientific paper

We study fusion rings for degenerate minimal models ($p=q$ case) for N=0 and
N=1 (super)conformal algebras. We consider a distinguished family of modules at
the level $c=1$ and $c=3/2$ and show that the corresponding fusion rings are
isomorphic to the representation rings for ${\mathfrak sl}(2, {\bf C})$ and
${\mathfrak osp}(1|2)$ respectively.

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