Genus one correction to Seiberg-Witten prepotential from β-deformed matrix model

Abstract

We study β-deformed matrix models with Penner type potentials, which correspond to N=2 SU(2) supersymmetric gauge theories with NF=2,3, and 4 flavors. We compute explicitly the genus one corrections to the free energy of the matrix model and show that they match the corresponding results obtained from the Nekrasov partition function.

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