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

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arxiv 0705.0958 v1 pith:4WFQY67D submitted 2007-05-07 math-ph hep-thmath.MP

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

classification math-ph hep-thmath.MP
keywords invariantsmatrixmixedmodelsymmetryalgebraicapplicationbicolored
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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  1. A bijective topological recursion for maps

    math.GT 2026-07 conditional novelty 8.0

    Iterating Tutte's edge-erasing procedure until the topology changes yields a bijective pair-of-pants excision that reproduces (blobbed) topological recursion for maps and stuffed maps.

  2. A bijective topological recursion for maps

    math.GT 2026-07 conditional novelty 8.0

    A bijective skinning procedure yields the topological recursion for maps of arbitrary topology at the level of formal generating series, with no analyticity assumptions, including stuffed maps and a combinatorial recu...