Fusion rings for degenerate minimal models
Abstract
Description
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.
Revised and enlarged version. It includes all the results from math.QA/0101165 (to appear in Journal of Algebra)
Revised and enlarged version. It includes all the results from math.QA/0101165 (to appear in Journal of Algebra)