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

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

2007-05-07

arxiv.org/abs/0705.0958v1

Physics

Mathematical Physics

37 pages, latex

Scientific paper

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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