Topological expansion for the Cauchy two-matrix model

Abstract

Recently, a two-matrix model with a new type of interaction (Bertola et al 2009 Commun. Math. Phys. 287 983–1014) has been introduced and analyzed using bi-orthogonal polynomial techniques. Here we present the complete expansion for the formal version of this model, following the spirit of Eynard and Orantin (2005 J. High Energy Phys. JHEP12(2005)034), and Chekhov and Eynard (2006 J. High Energy Phys. JHEP03(2006)014), i.e. the full expansion for the non-mixed resolvent correlators and for the free energies.