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

Bertrand Eynard; Nicolas Orantin

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arXiv · 0705.0958

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

Bertrand Eynard·Nicolas Orantin

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Abstract

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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Bertrand Eynard, Nicolas Orantin. 2007-05-07. Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants. https://arxiv.org/abs/0705.0958

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