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arxiv: hep-th/0506158 · v1 · pith:WHM2HIGFnew · submitted 2005-06-20 · ✦ hep-th

Matrix Models vs. Matrix Integrals

classification ✦ hep-th
keywords matrixdescribeintegralsparticularsolutionsarbitrarybriefconcrete
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In a brief review, we discuss interrelations between arbitrary solutions of the loop equations that describe Hermitean one-matrix model and particular (multi-cut) solutions that describe concrete matrix integrals. These latter ones enjoy a series of specific properties and, in particular, are described in terms of Seiberg-Witten-Whitham theory. The simplest example of ordinary integral is considered in detail.

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