Coulomb integrals in Liouville theory and Liouville gravity
Abstract
The fourpoint correlation function has been studied in Liouville field theory. If one of the fields is degenerate, such a function is described in terms of Coulomb integrals. Some nontrivial relations for these integrals have been found that can be used to obtain new exact results in conformal field theory. In particular, a fourpoint correlation function has been calculated in minimal quantum gravity. The result agrees with the results obtained recently by different methods [A. A. Belavin and A. B. Zamolodchikov, JETP Lett. 82, 7 (2005); Theor. Math. Phys. 147, 729 (2006); A. B. Zamolodchikov, Theor. Math. Phys. 142, 183 (2005); I. K. Kostov and V. B. Petkova, Theor. Math. Phys. 146, 108 (2006)].
 Publication:

Soviet Journal of Experimental and Theoretical Physics Letters
 Pub Date:
 January 2007
 DOI:
 10.1134/S0021364006220012
 Bibcode:
 2007JETPL..84..531F
 Keywords:

 11.25.Hf