This article is cited in 9 papers

Matrix models, complex geometry, and integrable systems: II$^*$

A. V. Marshakov<sup>ab

a</sup> P. N. Lebedev Physical Institute, Russian Academy of Sciences
^b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)

Abstract: We consider certain examples of applications of the general methods based on geometry and integrability of matrix models. These methods were described in the first part of this paper. In particular, we investigate the nonlinear differential equations satisfied by semiclassical tau functions. We also discuss a similar semiclassical geometric picture arising in the context of multidimensional supersymmetric gauge theories and the AdS/CFT correspondence.

Keywords: string theory, matrix models, complex geometry.

Received: 09.10.2005

DOI: 10.4213/tmf1986

 English version: Theoretical and Mathematical Physics, 2006, 147:3, 777–820

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