Solution of the $H_3^+$ model on a disc
Fri, Mar. 16th 2007, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
Recently an interesting relation has been discovered between
conformal blocks of affine $SL(2)$ and Virasoro algebras.
By using it, the correlation functions of $H_3^+$ WZW model on the sphere
have been related to those in Liouville theory by Ribault and
Teschner. I will explain how to generalize this correspondence to disc
(or the upper half plane) and determine the disc correlators
in $H_3^+$ in terms of those of Liouville theory.