Non-Abelian isometries of multidmensional universes
Journal Article
·
· Found. Phys.; (United States)
A field theory on a (d+n)-dimensional manifold in the presence of an n-dimensional isometry group spanning n-dimensional orbit spaces may be reduced to a field theory on a d-dimensional manifold. The field content of such reduced theories is completely worked out when the isometries may be non-Abelian and the resultant space may have torsion. The equations of motion of the dimensionally reduced theory are obtained directly from the higher-dimensional theory. The reduced theory is given in terms of the metric tensor, a set of scalar fields, and a set of antisymmetric tensor fields.
- Research Organization:
- Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221-0011
- DOE Contract Number:
- AC02-76ER02978
- OSTI ID:
- 5920153
- Journal Information:
- Found. Phys.; (United States), Journal Name: Found. Phys.; (United States) Vol. 14:11; ISSN FNDPA
- Country of Publication:
- United States
- Language:
- English
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