$1/N^2$ correction to free energy in hermitian two-matrix model
High Energy Physics - Theory
2009-11-10 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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 in hermitian one-matrix model. We discuss the relationship between , Bergmann tau-function on Hurwitz spaces, G-function of Frobenius manifolds and determinant of Laplacian over spectral curve.
Keywords
Cite
@article{arxiv.hep-th/0401166,
title = {$1/N^2$ correction to free energy in hermitian two-matrix model},
author = {B. Eynard and A. Kokotov and D. Korotkin},
journal= {arXiv preprint arXiv:hep-th/0401166},
year = {2009}
}