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Matrix eigenvalue model: Feynman graph technique for all genera

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arxiv math-ph/0604014 v1 pith:7DYJ3TJQ submitted 2006-04-06 math-ph hep-thmath.MP

Leonid Chekhov (LIFR-Mi2p , Itep , Steklov Institute) , Bertrand Eynard (SPhT) This is my paper · ORCID
classification math-phhep-thmath.MP
keywords eigenvaluemodelarbitrarymatrixtechniquebetacalculatingcase
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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).

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Cited by 2 Pith papers

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  1. Surgery and statistics in 3d gravity

    hep-th 2025-06 unverdicted novelty 6.0 of 10

    Introduces RMT surgery to relate off-shell 3D gravity partition functions to CFT spectral statistics via Euclidean wormholes with four-punctured sphere and trumpet boundaries.

  2. Quantum Curves in the Context of Symplectic Duality

    math-ph 2025-04 conditional novelty 6.0 of 10

    Quantum spectral curve operators for arbitrary base points can be derived by applying x-y and symplectic duality transformations to simpler spectral curves.

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