Matrix model approach to the N=2 U(N) gauge theory with matter in the fundamental representation

Abstract

We use matrix model technology to study the N=2 U(N) gauge theory with N_f massive hypermultiplets in the fundamental representation. We perform a completely perturbative calculation of the periods a_i and the prepotential F(a) up to the first instanton level, finding agreement with previous results in the literature. We also derive the Seiberg-Witten curve and differential from the large-M solution of the matrix model. We show that the two cases N_f<N and N \le N_f < 2N can be treated simultaneously.

22 pages, 2 figures; v3: added sec. 8, containing a derivation of the SW differential purely within the matrix model framework; references added

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