Berenstein-Zelevinsky triangles, elementary couplings and fusion rules

Details Berenstein-Zelevinsky triangles, elementary couplings and fusion rules Berenstein-Zelevinsky triangles, elementary couplings and fusion rules

1993-01-18

arxiv.org/abs/hep-th/9301075v1

Lett.Math.Phys. 28 (1993) 257-268

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1007/BF00761494

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.

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