Physics – Mathematical Physics
Scientific paper
2000-09-12
J.Geom.Phys. 42 (2002) 106-138
Physics
Mathematical Physics
35 pages, LaTeX
Scientific paper
The natural partial ordering of the orbit types of the action of the group of local gauge transformations on the space of connections in space-time dimension d<=4 is investigated. For that purpose, a description of orbit types in terms of cohomology elements of space-time, derived earlier, is used. It is shown that, on the level of these cohomology elements, the partial ordering relation is characterized by a system of algebraic equations. Moreover, operations to generate direct successors and direct predecessors are formulated. The latter allow to successively reconstruct the set of orbit types, starting from the principal type.
Rudolph Gerd
Schmidt Matthias
Volobuev Igor P.
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