The coefficients of the Seiberg-Witten prepotential as intersection numbers (?)
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.
Keywords
Cite
@article{arxiv.hep-th/0110240,
title = {The coefficients of the Seiberg-Witten prepotential as intersection numbers (?)},
author = {R. Flume and R. Poghossian and H. Storch},
journal= {arXiv preprint arXiv:hep-th/0110240},
year = {2007}
}
Comments
21 pages, To be published in the collection ``From Integrable Models to Gauge Theories'' (World Scientific, Singapore, 02) to honour Sergei Matinyan at the occasion of his 70'th birthday