Seiberg-Witten prepotential from instanton counting

Details Seiberg-Witten prepotential from instanton counting Seiberg-Witten prepotential from instanton counting

2003-06-20

arxiv.org/abs/hep-th/0306211v1

Proceedings of the ICM, Beijing 2002, vol. 3, 477--496

Physics

High Energy Physics

High Energy Physics - Theory

These are lecture notes from the ICM that summarize hep-th/0206161

Scientific paper

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.

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