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
