The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons

Details The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons

2001-12-21

arxiv.org/abs/hep-th/0112211v1

Mod.Phys.Lett. A17 (2002) 327-340

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 15 pages

Scientific paper

10.1142/S0217732302006588

The n-instanton contribution to the Seiberg-Witten prepotential of N=2 supersymmetric d=4 Yang Mills theory is represented as the integral of the exponential of an equivariantly exact form. Integrating out an overall scale and a U(1) angle the integral is rewritten as (4n-3) fold product of a closed two form. This two form is, formally, a representative of the Euler class of the Instanton moduli space viewed as a principal U(1) bundle, because its pullback under bundel projection is the exterior derivative of an angular one-form.

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