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Genus one contribution to free energy in hermitian two-matrix model

B. Eynard·A. Kokotov·D. Korotkin
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Abstract

We compute an the genus 1 correction to free energy of Hermitian two-matrix model in terms of theta-functions associated to spectral curve arising in large N limit. We discuss the relationship of this expression to isomonodromic tau-function, Bergmann tau-function on Hurwitz spaces, G-function of Frobenius manifolds and determinant of Laplacian in a singular metric over spectral curve.

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B. Eynard, A. Kokotov, D. Korotkin. 2004-03-05. Genus one contribution to free energy in hermitian two-matrix model. https://doi.org/10.1016/j.nuclphysb.2004.06.031

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