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

Abstract

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.

LaTex, 15 pages

References in corpus (1)

• Multi-Instanton Measure from Recursion Relations in N=2 Supersymmetric Yang-Mills Theory

Cited by in corpus (10)

• Multi-Instanton Calculus and Equivariant Cohomology
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• Matone's Relation in the Presence of Gravitational Couplings
• Five-dimensional Chern-Simons terms and Nekrasov's instanton counting
• Calculating the Prepotential by Localization on the Moduli Space of Instantons
• Topological Vector Symmetry of BRSTQFT and Construction of Maximal Supersymmetry
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres
• $T$, $Q$ and periods in $SU(3)$ $\mathcal{N}=2$ SYM
• Instantons and the 5D U(1) gauge theory with extra adjoint
• Low Energy Effective Action in N=2 Yang-Mills as an Integrated Anomaly