On the level-dependence of Wess-Zumino-Witten three-point functions

Details On the level-dependence of Wess-Zumino-Witten three-point functions On the level-dependence of Wess-Zumino-Witten three-point functions

2001-05-29

arxiv.org/abs/hep-th/0105294v2

Nucl.Phys. B616 (2001) 517-536

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, no figures

Scientific paper

10.1016/S0550-3213(01)00337-6

Three-point functions of Wess-Zumino-Witten models are investigated. In particular, we study the level-dependence of three-point functions in the models based on algebras $su(3)$ and $su(4)$. We find a correspondence with Berenstein-Zelevinsky triangles. Using previous work connecting those triangles to the fusion multiplicities, and the Gepner-Witten depth rule, we explain how to construct the full three-point functions. We show how their level-dependence is similar to that of the related fusion multiplicity. For example, the concept of threshold level plays a prominent role, as it does for fusion.

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