Recent progress on Liouville Field Theory
High Energy Physics - Theory
2007-05-23 v2
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.
Cite
@article{arxiv.hep-th/0301193,
title = {Recent progress on Liouville Field Theory},
author = {Benedicte Ponsot},
journal= {arXiv preprint arXiv:hep-th/0301193},
year = {2007}
}
Comments
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