1/N2 correction to free energy in hermitian two-matrix model
Abstract
Using the loop equations we find an explicit expression for genus 1 correction in hermitian two-matrix model in terms of holomorphic objects associated to spectral curve arising in large N limit. Our result generalises known expression for F1 in hermitian one-matrix model. We discuss the relationship between F1, Bergmann tau-function on Hurwitz spaces, G-function of Frobenius manifolds and determinant of Laplacian over spectral curve.
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