Publication : t06/016

Free energy topological expansion for the 2-matrix model

Chekhov L. (LIFR-MI2P, ITEP, Steklov Institute, RUSSIA)
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Orantin N. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:
We compute the complete topological expansion of the formal hermitian two-matrix model. For this, we refine the previously formulated diagrammatic rules for computing the 1/ N expansion of the nonmixed correlation functions and give a new formulation of the spectral curve. We extend these rules obtaining a closed formula for correlation functions in all orders of topological expansion. We then integrate it to obtain the free energy in terms of residues on the associated Riemann surface.
Année de publication : 2006
Revue : JHEP 0612 053 (2006)
DOI : 10.1088/1126-6708/2006/12/053
Preprint : arXiv:math-ph/0603003
Lien : http://stacks.iop.org/1126-6708/2006/i=12/a=053
Keywords : Matrix Models; Differential and Algebraic Geometry; Topological Strings
Numéro Exterieur : ccsd-00019891 ; ITEP/TH-05/06
Langue : Anglais
NB : [30 pp.]

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  • 1126-6708_2006_12_053.pdf
  • publi.pdf

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