Self-duality equations for spherically symmetric SU(2) gauge fields
G. Zet
TL;DR
This paper explores self-duality equations in spherically symmetric SU(2) gauge theory, demonstrating their compatibility with Einstein-Yang-Mills equations and generalizing this property to other gauge theories with curved spacetime.
Contribution
It proves that self-duality equations are compatible with Einstein-Yang-Mills equations for any gauge theory with a compact Lie group in curved spacetime.
Findings
Self-duality equations are compatible with Einstein-Yang-Mills equations.
Compatibility holds for any gauge theory with a compact Lie group in curved spacetime.
The property is proven to be generally valid beyond specific models.
Abstract
A model of spherically symmetric SU(2) gauge theory is considered. The self-duality equations are written and it is shown that they are compatible with the Einstein-Yang-Mills equations. It is proven that this property is true for any gauge theory with curved base space-time and having a compact Lie group as structural group.
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