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

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

2004-03-05

arxiv.org/abs/hep-th/0403072v1

Nucl.Phys. B694 (2004) 443-472

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, detailed version of hep-th/0401166

Scientific paper

10.1016/j.nuclphysb.2004.06.031

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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