Berenstein-Zelevinsky triangles,elementary couplings,and fusion rules |
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| Authors: | L Begin A N Kirillov P Mathieu M A Walton |
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| Institution: | (1) Département de Physique, Université Laval, G1K 7P4 Québec, Canada;(2) Steklov Mathematical Institute, Fontanka 27, 191011 St. Petersburg, Russia;(3) Physics Department, University of Lethbridge, T1K 3M4 Alberta, Canada |
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| Abstract: | We present a general scheme for describing
(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
(4)
k
fusion rules is obtained.Work supported by NSERC (Canada).Work supported by NSERC (Canada) and FCAR (Québec). |
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| Keywords: | 81-XX |
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