Genus one contribution to free energy in hermitian two-matrix model
High Energy Physics - Theory
2009-11-10 v1
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.
Keywords
Cite
@article{arxiv.hep-th/0403072,
title = {Genus one contribution to free energy in hermitian two-matrix model},
author = {B. Eynard and A. Kokotov and D. Korotkin},
journal= {arXiv preprint arXiv:hep-th/0403072},
year = {2009}
}
Comments
25 pages, detailed version of hep-th/0401166