Matrix models vs. Seiberg-Witten/Whitham theories

Preprint
Publisher Website
Google Scholar
  • 10 September 2002
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 $\tau$-function. The corresponding Whitham hierarchy is explicitly constructed. The double-point problem is solved.

This publication has 0 references indexed in Scilit: