Matrix eigenvalue model: Feynman graph technique for all genera

Abstract

We present the diagrammatic technique for calculating the free energy of the matrix eigenvalue model (the model with arbitrary power $\beta$ by the Vandermonde determinant) to all orders of 1/N expansion in the case where the limiting eigenvalue distribution spans arbitrary (but fixed) number of disjoint intervals (curves).

Latex, 27 pages

References in corpus (1)

• Large N expansion for the 2D Dyson gas

Cited by in corpus (64)

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• Large N limit of beta-ensembles and deformed Seiberg-Witten relations
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• Genus expansion of matrix models and $\hslash$ expansion of $B$KP hierarchy
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• A New Class of Higher Quantum Airy Structures as Modules of $\mathcal{W}({\mathfrak{gl}}_r)$-Algebras
• Non-homogenous disks in the chain of matrices