Purely affine elementary su(N) fusions

Details Purely affine elementary su(N) fusions Purely affine elementary su(N) fusions

2001-10-24

arxiv.org/abs/hep-th/0110223v1

Mod.Phys.Lett. A17 (2002) 1249-1258

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX

Scientific paper

10.1142/S0217732302007338

We consider three-point couplings in simple Lie algebras -- singlets in triple tensor products of their integrable highest weight representations. A coupling can be expressed as a linear combination of products of finitely many elementary couplings. This carries over to affine fusion, the fusion of Wess-Zumino-Witten conformal field theories, where the expressions are in terms of elementary fusions. In the case of su(4) it has been observed that there is a purely affine elementary fusion, i.e., an elementary fusion that is not an elementary coupling. In this note we show by construction that there is at least one purely affine elementary fusion associated to every su(N>3).

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