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- W1982807025 abstract "The exact free energy of a matrix model always satisfies the Seiberg-Witten equations on a complex curve defined by singularities of the semiclassical resolvent. The role of the Seiberg-Witten differential is played by the exact one-point resolvent in this case. We show that these properties are preserved in the generalization of matrix models to β-ensembles. But because the integrability and Harer-Zagier topological recursion are still unavailable for β-ensembles, we must rely on the ordinary Alexandrov-Mironov-Morozov/Eynard-Orantin recursion to evaluate the first terms of the genus expansion. We restrict our consideration to the Gaussian model." @default.
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- W1982807025 date "2012-04-01" @default.
- W1982807025 modified "2023-09-26" @default.
- W1982807025 title "Resolvents and Seiberg-Witten representation for a Gaussian β-ensemble" @default.
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- W1982807025 doi "https://doi.org/10.1007/s11232-012-0049-y" @default.
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