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

Published 22 Mar 2013 in hep-th | (1303.5584v3)

Abstract: We study \beta-deformed matrix models with Penner type potentials, which correspond to N=2 SU(2) supersymmetric gauge theories with N_F=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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