Berenstein-Zelevinsky triangles, elementary couplings and fusion rules
High Energy Physics - Theory
2009-10-22 v1 Quantum Algebra
Abstract
We present a general scheme for describing su(N)_k fusion rules in terms of elementary couplings, using Berenstein-Zelevinsky triangles. A fusion coupling is characterized by its corresponding tensor product coupling (i.e. its Berenstein-Zelevinsky triangle) and the threshold level at which it first appears. We show that a closed expression for this threshold level is encoded in the Berenstein-Zelevinsky triangle and an explicit method to calculate it is presented. In this way a complete solution of su(4)_k fusion rules is obtained.
Cite
@article{arxiv.hep-th/9301075,
title = {Berenstein-Zelevinsky triangles, elementary couplings and fusion rules},
author = {L. Begin and Anatol N. Kirillov and P. Mathieu and M. A. Walton},
journal= {arXiv preprint arXiv:hep-th/9301075},
year = {2009}
}
Comments
14 pages