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VOLUME 84 (2006) | ISSUE 10 | PAGE 625
Coulomb integrals in Liouville theory and Liouville gravity
Abstract
We study four-point correlation function in Liouville field theory. If one of the fields is degenerate, such a function is described in terms of Coulomb integrals. We find some non-trivial relations on these integrals, which can be used to obtain new exact results in conformal field theory. In particular, we calculate four-point correlation function in minimal quantum gravity. The result agrees with the results obtained recently by different methods [10fat-Belavin:2005yj,10fat-Kostov:2005av].