Recent progress on Liouville Field Theory
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.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- January 2003
- DOI:
- 10.48550/arXiv.hep-th/0301193
- arXiv:
- arXiv:hep-th/0301193
- Bibcode:
- 2003PhDT.......180P
- Keywords:
-
- High Energy Physics - Theory
- E-Print:
- 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