Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants. - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2007

Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants.

Résumé

We compute expectation values of mixed traces containing both matrices in a two matrix model, i.e. generating function for counting bicolored discrete surfaces with non uniform boundary conditions. As an application, we prove the $x-y$ symmetry of the algebraic curve invariants introduced in math-ph/0702045.
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Dates et versions

hal-00145022 , version 1 (07-05-2007)

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Bertrand Eynard, Nicolas Orantin. Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants.. 2007. ⟨hal-00145022⟩
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