Advances in Theoretical and Mathematical Physics

Seiberg-Witten Prepotential from Instanton Counting

Nikita A. Nekrasov

Abstract

Direct evaluation of the Seiberg-Witten prepotential is accomplished following the localization programme suggested in [1]. 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.

Article information

Source
Adv. Theor. Math. Phys., Volume 7, Number 5 (2003), 831-864.

Dates
First available in Project Euclid: 22 March 2005

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1111510432

Mathematical Reviews number (MathSciNet)
MR2045303

Zentralblatt MATH identifier
1056.81068

Citation

Nekrasov, Nikita A. Seiberg-Witten Prepotential from Instanton Counting. Adv. Theor. Math. Phys. 7 (2003), no. 5, 831--864. https://projecteuclid.org/euclid.atmp/1111510432


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