Coulomb integrals in Liouville theory and Liouville gravity Auteur(s): Fateev V., Litvinov A.V. (Article) Publié: Jetp Letters / Sov Phys Jetp Lett, vol. 84 p.531-536 (2007) Texte intégral en Openaccess : Ref HAL: in2p3-00136594_v1 DOI: 10.1134/S0021364006220012 WoS: 000243971000001 Exporter : BibTex | endNote 11 Citations Résumé: 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)]. |