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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer-Verlag

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1029-8479

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Emphasis Type="Italic"β/Emphasisdeformed matr

Authors: Takahiro Nishinaka Chaiho Rim
Publish Date: 2012/02/23
Volume: 2012, Issue: 2, Pages: 114-
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Abstract

We study Penner type matrix models in relation with the Nekrasov partition function of four dimensional mathcalN = 2 SU2 supersymmetric gauge theories with N F  = 2 3 and 4 By evaluating the resolvent using the loop equation for general β we explicitly construct the first halfgenus correction to the free energy and demonstrate the result coincides with the corresponding Nekrasov partition function with general Ωbackground including higher instanton contributions after modifying the relation of the Coulomb branch parameter with the filling fraction Our approach complements the proof using the Selberg integrals directly which is useful to find the contribution in the series of instanton numbers for a given deformation parameter

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