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Three-point function in the minimal Liouville gravity

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Abstract

We revisit the problem of the structure constants of the operator product expansions in the minimal models of conformal field theory, rederiving these previously known constants and presenting them in a form particularly useful in Liouville gravity applications. We discuss the analytic relation between our expression and the structure constant in the Liouville field theory and also give the three- and two-point correlation numbers on the sphere in the minimal Liouville gravity in the general form.

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Authors and Affiliations

  1. Laboratoire de Physique Mathématique, Université Montpellier II, Montpellier, France

    Al. B. Zamolodchikov

  2. Institute of Theoretical and Experimental Physics, Moscow, Russia

    Al. B. Zamolodchikov

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  1. Al. B. Zamolodchikov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 2, pp. 218–234, February, 2005.

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Zamolodchikov, A.B. Three-point function in the minimal Liouville gravity. Theor Math Phys 142, 183–196 (2005). https://doi.org/10.1007/PL00022141

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