Second and Third Order Observables of the Two-Matrix Model

Details Second and Third Order Observables of the Two-Matrix Model Second and Third Order Observables of the Two-Matrix Model

2003-09-19

arxiv.org/abs/hep-th/0309192v2

JHEP 0311 (2003) 062

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, v2 with added references and minor corrections

Scientific paper

10.1088/1126-6708/2003/11/062

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.

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