English

Fusion rings for degenerate minimal models

Quantum Algebra 2007-05-23 v3 Representation Theory

Abstract

We study fusion rings for degenerate minimal models (p=qp=q case) for N=0 and N=1 (super)conformal algebras. We consider a distinguished family of modules at the level c=1c=1 and c=3/2c=3/2 and show that the corresponding fusion rings are isomorphic to the representation rings for sl(2,C){\mathfrak sl}(2, {\bf C}) and osp(12){\mathfrak osp}(1|2) respectively.

Keywords

Cite

@article{arxiv.math/0003225,
  title  = {Fusion rings for degenerate minimal models},
  author = {Antun Milas},
  journal= {arXiv preprint arXiv:math/0003225},
  year   = {2007}
}

Comments

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