English

Fusion rules and the Patera-Sharp generating-function method

High Energy Physics - Theory 2007-05-23 v1

Abstract

We review some contributions on fusion rules that were inspired by the work of Sharp, in particular, the generating-function method for tensor-product coefficients that he developed with Patera. We also review the Kac-Walton formula, the concepts of threshold level, fusion elementary couplings, fusion generating functions and fusion bases. We try to keep the presentation elementary and exemplify each concept with the simple \su(2)k\su(2)_k case.

Cite

@article{arxiv.hep-th/0210182,
  title  = {Fusion rules and the Patera-Sharp generating-function method},
  author = {L. Begin and C. Cummins and P. Mathieu and M. A. Walton},
  journal= {arXiv preprint arXiv:hep-th/0210182},
  year   = {2007}
}

Comments

harvmac 15 pages. Contribution to the Proceedings of the Workshop on symmetry in physics in memory of Robert T. Sharp