On Symmetric Gauge Fields for arbitrary Gauge and Symmetry Groups

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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4 pages, Latex, talk given at Les Journees Relativistes 96, Ascona, Switzerland, May 26-30, to appear in Helv. Phys. Acta

Scientific paper

A classification of the possible symmetric principal bundles with a compact
gauge group, a compact symmetry group and a base manifold which is regularly
foliated by the orbits of the symmetry group is derived. A generalization of
Wang's theorem (classifying the invariant connections) is proven and local
expressions for the gauge potential of an invariant connection are given.

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