$1/N^2$ correction to free energy in hermitian two-matrix model

Details $1/N^2$ correction to free energy in hermitian two-matrix model $1/N^2$ correction to free energy in hermitian two-matrix model

2004-01-23

arxiv.org/abs/hep-th/0401166v2

Lett.Math.Phys. 71 (2005) 199-207

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1007/s11005-005-0157-9

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 $F^1$ in hermitian one-matrix model. We discuss the relationship between $F^1$, Bergmann tau-function on Hurwitz spaces, G-function of Frobenius manifolds and determinant of Laplacian over spectral curve.

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