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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 146, No. 1, pp. 77–89, January, 2006.
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Mironov, A.D. Matrix Models and Matrix Integrals. Theor Math Phys 146, 63–72 (2006). https://doi.org/10.1007/s11232-006-0007-7
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DOI: https://doi.org/10.1007/s11232-006-0007-7