Magnetic monopoles over topologically non trivial Riemann Surfaces
High Energy Physics - Theory
2009-09-25 v1
Abstract
An explicit canonical construction of monopole connections on non trivial U(1) bundles over Riemann surfaces of any genus is given. The class of monopole solutions depend on the conformal class of the given Riemann surface and a set of integer weights. The reduction of Seiberg-Witten 4-monopole equations to Riemann surfaces is performed. It is shown then that the monopole connections constructed are solutions to these equations.
Keywords
Cite
@article{arxiv.hep-th/9603035,
title = {Magnetic monopoles over topologically non trivial Riemann Surfaces},
author = {I. Martin and A. Restuccia},
journal= {arXiv preprint arXiv:hep-th/9603035},
year = {2009}
}
Comments
17 pages, latex, 3 figures sent only upon request