Seiberg-Witten Prepotential From Instanton Counting
Nikita A. Nekrasov
TL;DR
This paper computes the Seiberg-Witten prepotential using localization, confirms agreement with existing low-instanton results, and introduces a two-parameter generalization linked to M-theory and integrable hierarchies.
Contribution
It provides a direct localization-based computation of the prepotential and proposes a novel two-parameter extension connected to M-theory and integrable systems.
Findings
Results agree with existing low-instanton calculations.
Introduces a natural two-parameter generalization.
Conjectures relation to tau-functions of KP/Toda hierarchy.
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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Taxonomy
TopicsMathematics and Applications · Quantum Mechanics and Applications · Matrix Theory and Algorithms