On sl3 KZ equations and W3 null-vector equations

Sylvain Ribault (1)

1 LPTA - Laboratoire de Physique Théorique et Astroparticules

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Sylvain Ribault. On sl3 KZ equations and W3 null-vector equations. Workshop on Applied 2d Sigma Models, Nov 2008, Hamburg, Germany. ⟨hal-00342611⟩