Genus one contribution to free energy in Hermitian two-matrix model
Eynard B. (
CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Kokotov A. (
Concordia University, 1455 De Maisonneuve Blvd. West, Montreal, Quebec, H3G 1M8 CANADA)
Korotkin D. (
Concordia University, 1455 De Maisonneuve Blvd. West, Montreal, Quebec, H3G 1M8 CANADA)
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.
Année de publication : 2004
Revue : Nucl. Phys. B
694
443-472
(2004)
DOI :
1016/j.nuclphysb.2004.06.031
Preprint :
arXiv:hep-th/0403072 Langue : Anglais
NB : (detailed version of hep-th/0401166)
Fichier(s) à télécharger : publi.pdf