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arXiv · hep-th/0506155

Determinant Formulas for Matrix Model Free Energy

D. Vasiliev
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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 $\hat {II}$ 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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D. Vasiliev. 2005-07-11. Determinant Formulas for Matrix Model Free Energy. https://doi.org/10.1134/1.2086123

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