Coulomb integrals in Liouville theory and Liouville gravity

V. A. Fateev, A. V. Litvinov

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

The four-point 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 four-point 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)].

Original languageEnglish
Pages (from-to)531-536
Number of pages6
JournalJETP Letters
Volume84
Issue number10
DOIs
Publication statusPublished - Jan 2007
Externally publishedYes

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