Second and third order observables of the twomatrix model
Abstract
In this paper we complement our recent result on the explicit formula for the planar limit of the free energy of the twomatrix model by computing the second and third order observables of the model in terms of canonical structures of the underlying genus g spectral curve. In particular we provide explicit formulas for any threeloop correlator of the model. Some explicit examples are worked out.
 Publication:

Journal of High Energy Physics
 Pub Date:
 November 2003
 DOI:
 10.1088/11266708/2003/11/062
 arXiv:
 arXiv:hepth/0309192
 Bibcode:
 2003JHEP...11..062B
 Keywords:

 Integrable Hierarchies Matrix Models;
 High Energy Physics  Theory;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 22 pages, v2 with added references and minor corrections