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

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

We compute the genus one correction to free energy of Hermitian two-matrix model in large N limit in terms of theta-functions associated to the spectral curve. We discuss the relationship of this expression to the isomonodromic tau-function, the Bergmann tau-function on Hurwitz spaces, the G-functio...

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Bibliographic Details
Published in:Nuclear physics. B Vol. 694; no. 3; pp. 443 - 472
Main Authors: Eynard, B, Kokotov, A, Korotkin, D
Format: Journal Article
Language:English
Published: Elsevier B.V 30-08-2004
Subjects:
02.90.+p
Online Access:Get full text
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Summary:We compute the genus one correction to free energy of Hermitian two-matrix model in large N limit in terms of theta-functions associated to the spectral curve. We discuss the relationship of this expression to the isomonodromic tau-function, the Bergmann tau-function on Hurwitz spaces, the G-function of Frobenius manifolds and the determinant of Laplacian in a singular metric over the spectral curve.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2004.06.031