This article is cited in 43 papers

Matrix Models and Matrix Integrals

A. D. Mironov<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 discuss the relations between arbitrary solutions of the loop equations describing the Hermitean one-matrix model and particular (multicut) solutions corresponding to concrete matrix integrals. These latter have a series of specific properties and, in particular, are described in terms of the Seiberg–Witten–Whitham theory. We consider the simplest example of an ordinary integral in detail.

Keywords: matrix models, supersymmetric gauge theories.

DOI: 10.4213/tmf2010

 English version: Theoretical and Mathematical Physics, 2006, 146:1, 63–72

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