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arXiv · hep-th/0209085

Matrix models vs. Seiberg-Witten/Whitham theories

L. Chekhov·A. Mironov
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Abstract

We discuss the relation between matrix models and the Seiberg--Witten type (SW) theories, recently proposed by Dijkgraaf and Vafa. In particular, we prove that the partition function of the Hermitean one-matrix model in the planar (large $N$) limit coincides with the prepotential of the corresponding SW theory. This partition function is the logarithm of a Whitham $τ$-function. The corresponding Whitham hierarchy is explicitly constructed. The double-point problem is solved.

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L. Chekhov, A. Mironov. 2002-10-07. Matrix models vs. Seiberg-Witten/Whitham theories. https://doi.org/10.1016/s0370-2693(02)03163-5

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