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]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Sylvain Ribault. On sl3 KZ equations and W3 null-vector equations. Conformal Field Theory, Integrable Models, and Liouville Gravity, Jul 2009, Chernogolovka, Russia. ⟨hal-00402470⟩