This article is cited in 4 papers

FIELDS, PARTICLES, AND NUCLEI

Determinant formulas for matrix model free energy

D. V. Vasiliev<sup>ab

a</sup> A. I. Alikhanov Institute for Theoretical and Experimental Physics
^b Moscow Institute of Physics and Technology

Abstract: The paper contains a new non-perturbative representation for subleading contribution to the free energy of multicut solution for hermitian matrix model. This representation is a generalisation of the formula, proposed by Klemm, Marino and Theisen for two cut solution, which was obtained by comparing the cubic matrix model with the topological B-model on the local Calabi-Yau geometry $\widehat{II}$ and was checked perturbatively. In this paper we give a direct proof of their formula and generalise it to the general multicut solution.

PACS: 11.15.Pg, 11.15.Tk

Received: 17.06.2005

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2005, 82:3, 101–104

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