Spherically symmetric 't Hooft-Polyakov monopoles
M. O. Katanaev
TL;DR
This paper derives all spherically symmetric 't Hooft-Polyakov monopoles with massless scalar fields and minimal energy by solving the Bogomol'nyi equations analytically, unifying known solutions as special cases.
Contribution
It provides a general analytic solution for spherically symmetric monopoles, encompassing previous specific solutions within a unified framework.
Findings
Analytic spherically symmetric solutions depend on two constants and an arbitrary function.
Includes BPS and Singleton solutions as special cases.
All minimal energy monopoles with massless scalar fields are characterized.
Abstract
A general analytic spherically symmetric solution of the Bogomol'nyi equations is found. It depends on two constants and one arbitrary function on radius and contains the Bogomol'nyi-Prasad-Sommerfield and Singleton solutions as particular cases. Thus all spherically symmetric 't Hooft-Polyakov monopoles with massless scalar field and minimal energy are derived.
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