On Symmetric Gauge Fields for arbitrary Gauge and Symmetry Groups
General Relativity and Quantum Cosmology
2011-04-15 v1
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.
Cite
@article{arxiv.gr-qc/9610024,
title = {On Symmetric Gauge Fields for arbitrary Gauge and Symmetry Groups},
author = {Othmar Brodbeck},
journal= {arXiv preprint arXiv:gr-qc/9610024},
year = {2011}
}
Comments
4 pages, Latex, talk given at Les Journees Relativistes 96, Ascona, Switzerland, May 26-30, to appear in Helv. Phys. Acta