Magnetic monopoles over topologically non trivial Riemann Surfaces

Details Magnetic monopoles over topologically non trivial Riemann Surfaces Magnetic monopoles over topologically non trivial Riemann Surfaces

1996-03-07

arxiv.org/abs/hep-th/9603035v1

Lett.Math.Phys. 39 (1997) 379-391

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, latex, 3 figures sent only upon request

Scientific paper

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.

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