Determinant Formulas for Matrix Model Free Energy
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 II 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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