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VOL. 1 | 2000 Dirac and Seiberg–Witten Monopoles

Abstract

Dirac magnetic monopoles, which may or may not exist in nature, seem to exist everywhere in mathematics. They are in one-to-one correspondence with the natural connections on principal $U(1)$-bundles over $S^2$ and, moreover, appear as solutions to the field equations of $SU(2)$ Yang–Mills–Higgs theory on $\mathfrak{R}^3$ as well as Seiberg–Witten theory and its non-Abelian generalization on Minkowski space-time. This talk will present an informal survey of the situation.

Information

Published: 1 January 2000
First available in Project Euclid: 5 June 2015

zbMATH: 0985.53019
MathSciNet: MR1758162

Digital Object Identifier: 10.7546/giq-1-2000-181-199

Rights: Copyright © 2000 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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