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Workshop on Applied 2d Sigma Models, Hamburg : Allemagne (2008)
On sl3 KZ equations and W3 null-vector equations
Sylvain Ribault1

I will rewrite the sl3 Knizhnik-Zamolodchikov equations in terms of Sklyanin's separated variables for the sl3 Gaudin model. It is then possible to compare the sl3 KZ equations with certain W3 null-vector equations, in the spirit of the known relation between sl2 KZ equations and Belavin-Polyakov-Zamolodchikov equations. In the sl3 case however, a relation is found only in the critical level limit.
1 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
Physique/Physique des Hautes Energies - Théorie