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Seiberg-Witten Prepotential From Instanton Counting

Nikita A. Nekrasov

hep-tharXiv:hep-th/0206161

Abstract

Direct evaluation of the Seiberg-Witten prepotential is accomplished following the localization programme suggested some time ago. Our results agree with all low-instanton calculations available in the literature. We present a two-parameter generalization of the Seiberg-Witten prepotential, which is rather natural from the M-theory/five dimensional perspective, and conjecture its relation to the tau-functions of KP/Toda hierarchy.

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