One Monopole with k Singularities
Sergey A. Cherkis, Chris D. A. Blair
TL;DR
This paper classifies all charge one monopole solutions with k Dirac singularities across several gauge groups, providing a comprehensive understanding of their structure and extending previous specific cases.
Contribution
It offers a complete characterization of monopole solutions with arbitrary singularities for U(2), SO(3), and SU(2), expanding known solutions to more general configurations.
Findings
Explicit solutions for all k singularities in specified gauge groups.
Comparison with known solutions for fewer singularities.
Enhanced understanding of monopole configurations with multiple singularities.
Abstract
We present all charge one monopole solutions of the Bogomolny equation with k prescribed Dirac singularities for the gauge groups U(2), SO(3), or SU(2). We analyze these solutions comparing them to the previously known expressions for the cases of one or two singularities.
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