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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2005 Volume 142, Number 2, Pages 218–234 (Mi tmf1777)

This article is cited in 74 papers

Three-point function in the minimal Liouville gravity

Al. B. Zamolodchikovab

a Institute for Theoretical and Experimental Physics
b Laboratoire de Physique Mathématique, Université Montpellier II, Montpellier, France

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.

Keywords: conformal field theory, Liouville gravity, minimal models.

DOI: 10.4213/tmf1777


 English version:
Theoretical and Mathematical Physics, 2005, 142:2, 183–196

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