On Symmetric Gauge Fields for arbitrary Gauge and Symmetry Groups

Abstract

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.

arXiv comment4 pages, Latex, talk given at Les Journees Relativistes 96, Ascona, Switzerland, May 26-30, to appear in Helv. Phys. Acta

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