Recent progress on Liouville Field Theory
arXiv:hep-th/0301193
Abstract
An explicit construction for the monodromy of the Liouville conformal blocks in terms of Racah-Wigner coefficients of the quantum group U_q(sl(2,R)) is proposed. As a consequence, crossing-symmetry for four point functions is analytically proven, and the expression for the correlator of three boundary operators is obtained.
29 pages. More or less the English version of the author's PhD thesis (in French) held at Montpellier University, May 2000. Adviser: Al.B.Zamolodchikov. Collaborator: J. Teschner. Contribution to the proceedings of the 6th International Conference on CFTs and Integrable Models, Chernogolovka, Russia, September 2002; v2: references added