Publication : t04/010
$1/N^2$ correction to free energy in hermitian two-matrix model
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Korotkin D. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Kokotov A. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:Année de publication : 2005
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 generalizes a known expression for $F^1$ in hermitian one-matrix model. We discuss the relationship between $F^1$, isomonodromic tau-function, Bergmann tau-functiopn on Hurwitz spaces, G-function of Frobenius manifolds and determinant of Laplacian over spectral curve.
Revue : Lett. Math. Phys. 71 199-207 (2005)
Preprint : arXiv:hep-th/0401166
Langue : Anglais
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