Determinant Formulas for Matrix Model Free Energy
arXiv:hep-th/0506155 · doi:10.1134/1.2086123
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.
5 pages, submitted to JETP Letters, references added, minor corrections