The Coefficients of the Seiberg-Witten prepotential as intersection numbers(?)
Oct, 2001Citations per year
Abstract:
The -instanton contribution to the Seiberg-Witten prepotential of supersymmetric 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 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.Note:
- To be published in the collection 'From Integrable Models to Gauge Theories', World Scientific, Singapore, 02 to honor Sergei Matinyan on the occasion of his 70th birghday
- gauge field theory: SU(2)
- supersymmetry
- prepotential
- Seiberg-Witten model
- differential forms
- geometry: algebra
- instanton
- field theory: Liouville
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