Seiberg-Witten prepotential from instanton counting
High Energy Physics - Theory
2007-05-23 v1
Abstract
In my lecture I consider integrals over moduli spaces of supersymmetric gauge field configurations (instantons, Higgs bundles, torsion free sheaves). The applications are twofold: physical and mathematical; they involve supersymmetric quantum mechanics of D-particles in various dimensions, direct computation of the celebrated Seiberg-Witten prepotential, sum rules for the solutions of the Bethe ansatz equations and their relation to the Laumon's nilpotent cone. As a by-product we derive some combinatoric identities involving the sums over Young tableaux.
Cite
@article{arxiv.hep-th/0306211,
title = {Seiberg-Witten prepotential from instanton counting},
author = {Nikita A. Nekrasov},
journal= {arXiv preprint arXiv:hep-th/0306211},
year = {2007}
}
Comments
These are lecture notes from the ICM that summarize hep-th/0206161