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- Coulomb integrals in Liouville theory and Liouville gravity doi link

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 : istex


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)].