On sl3 KZ equations and W3 null-vector equations

Sylvain Ribault

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On sl3 KZ equations and W3 null-vector equations

Acte de colloque

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On sl3 KZ equations and W3 null-vector equations

Sylvain Ribault

Conformal Field Theory, Integrable Models, and Liouville Gravity (Chernogolovka, Russia, 01/07/2009)

Résumé

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

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Titre: On sl3 KZ equations and W3 null-vector equations
Créateurs - sans rôle: Sylvain Ribault - Laboratoire de Physique Théorique
Colloque: Conformal Field Theory, Integrable Models, and Liouville Gravity (Chernogolovka, Russia, 01/07/2009)
Identifiants: 99150428409311
Unité académique: Université de Montpellier
Langue: English
Type de ressource: Conference proceeding
Champs locaux: hal-00402470