The Seiberg - Witten prepotential and the Euler class of the reduced moduli space of instantons ∗
نویسنده
چکیده
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. [ on leave of absence from Yerevan Physics Institute, Armenia e-mail: [email protected] [email protected] [email protected]
منابع مشابه
Instanton Counting on Blowup. I. 4-dimensional Pure Gauge Theory
We give a mathematically rigorous proof of Nekrasov’s conjecture: the integration in the equivariant cohomology over the moduli spaces of instantons on R gives a deformation of the Seiberg-Witten prepotential for N = 2 SUSY Yang-Mills theory. Through a study of moduli spaces on the blowup of R, we derive a differential equation for the Nekrasov’s partition function. It is a deformation of the e...
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