Recent progress on Liouville Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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29 pages. More or less the English version of the author's PhD thesis (in French) held at Montpellier University, May 2000. Ad

Scientific paper

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.

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