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Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula

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arxiv math-ph/0504058 v2 pith:I7QA5ZWG submitted 2005-04-19 math-ph hep-thmath.MP

Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula

classification math-ph hep-thmath.MP
keywords correlationexpansionfunctionsmatrixmodelresiduestopologicalalgebraic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We solve the loop equations of the hermitian 2-matrix model to all orders in the topological $1/N^2$ expansion, i.e. we obtain all non-mixed correlation functions, in terms of residues on an algebraic curve. We give two representations of those residues as Feynman-like graphs, one of them involving only cubic vertices.

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Cited by 2 Pith papers

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    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...