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Coulomb integrals in Liouville theory and Liouville gravity

  • Gravity, Astrophysics
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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)].

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References

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia

    V. A. Fateev & A. V. Litvinov

  2. Laboratoire de Physique Théorique et Astroparticules, Université Montpelier II, Pl.E. Bataillon, 34095, Montpelier, France

    V. A. Fateev

Authors
  1. V. A. Fateev
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  2. A. V. Litvinov
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Fateev, V.A., Litvinov, A.V. Coulomb integrals in Liouville theory and Liouville gravity. Jetp Lett. 84, 531–536 (2007). https://doi.org/10.1134/S0021364006220012

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  • DOI: https://doi.org/10.1134/S0021364006220012

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