On sl3 KZ equations and W3 null-vector equations

Abstract : 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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Conference papers
Conformal Field Theory, Integrable Models, and Liouville Gravity, Jul 2009, Chernogolovka, Russia


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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>

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