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Seiberg-Witten prepotential from instanton counting

Nikita A. Nekrasov
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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.

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Nikita A. Nekrasov. 2003-06-20. Seiberg-Witten prepotential from instanton counting. https://arxiv.org/abs/hep-th/0306211

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