Fusion rules and the Patera-Sharp generating-function method

L. Begin; C. Cummins; P. Mathieu; M. A. Walton

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arXiv · hep-th/0210182

Fusion rules and the Patera-Sharp generating-function method

L. Begin·C. Cummins·P. Mathieu·M. A. Walton

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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 $\su(2)_k$ case.

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L. Begin, C. Cummins, P. Mathieu, M. A. Walton. 2002-10-18. Fusion rules and the Patera-Sharp generating-function method. https://arxiv.org/abs/hep-th/0210182

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