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Self-duality equations for spherically symmetric SU(2) gauge fields

G. Zet

hep-tharXiv:hep-th/0201212

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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