MAGNETIC MONOPOLES OVER TOPOLOGICALLY NONTRIVIAL RIEMANN SURFACES

Authors
MARTIN I RESTUCCIA A
Citation
I. Martin et A. Restuccia, MAGNETIC MONOPOLES OVER TOPOLOGICALLY NONTRIVIAL RIEMANN SURFACES, letters in mathematical physics, 39(4), 1997, pp. 379-391
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
39
Issue
4
Year of publication
1997
Pages
379 - 391
Database
ISI
SICI code
0377-9017(1997)39:4<379:MMOTNR>2.0.ZU;2-J
Abstract
An explicit canonical construction of monopole connections on nontrivi al U(1) bundles over Riemann surfaces of any genus is given. The class of monopole solutions depends on the conformal class of the given Rie mann surface and a set of integer weights. The reduction of Seiberg-Wi tten 4-monopole equations to Riemann surfaces is performed. It is then shown that the monopole connections constructed are solutions to thes e equations.