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| VOLUME 82 | ISSUE 3 |
PAGE 115
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| Determinant formulas for matrix model free energy |
D. Vasiliev
A. I. Alikhanov Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia
Moscow Institute of Physics and Technology, 117303 Moscow, Russia
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PACS: 11.15.Pg, 11.15.Tk
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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  and was checked perturbatively.
In this paper we give a direct proof of their formula and generalise it to
the general multicut solution.
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