This article is cited in 8 papers

FIELDS, PARTICLES, AND NUCLEI

A remark on the three approaches to 2D Quantum gravity

A. Belavin^a, M. Bershtein^ba, G. Tarnopolsky<sup>a

a</sup> Landau Institute for Theoretical Physics RAS, 142432 Chernogolovka, Moscow Region, Russia
^b Independent University of Moscow, 119002 Moscow, Russia

Abstract: The one-matrix model is considered. The generating function of the correlation numbers is defined in such a way that this function coincides with the generating function of the Liouville gravity. Using the Kontsevich theorem we explain that this generating function is an analytic continuation of the generating function of the Topological gravity. We check the topological recursion relations for the correlation functions in the $p$-critical Matrix model.

Received: 06.12.2010

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2011, 93:2, 47–51

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