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The coefficients of the Seiberg-Witten prepotential as intersection numbers (?)

R. Flume·R. Poghossian·H. Storch
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Abstract

The $n$-instanton contribution to the Seiberg-Witten prepotential of ${\bf N}=2$ 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. We comment on a recent speculation of Matone concerning an analogy linking the instanton problem and classical Liouville theory of punctured Riemann spheres.

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R. Flume, R. Poghossian, H. Storch. 2001-10-26. The coefficients of the Seiberg-Witten prepotential as intersection numbers (?). https://arxiv.org/abs/hep-th/0110240

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