English

Second and Third Order Observables of the Two-Matrix Model

High Energy Physics - Theory 2009-11-10 v2 Exactly Solvable and Integrable Systems

Abstract

In this paper we complement our recent result on the explicit formula for the planar limit of the free energy of the two-matrix 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 three-loop correlator of the model. Some explicit examples are worked out.

Cite

@article{arxiv.hep-th/0309192,
  title  = {Second and Third Order Observables of the Two-Matrix Model},
  author = {M. Bertola},
  journal= {arXiv preprint arXiv:hep-th/0309192},
  year   = {2009}
}

Comments

22 pages, v2 with added references and minor corrections

R2 v1 2026-07-22T15:19:12.664Z