Gauge Theories on de Sitter space and Killing Vectors
arXiv:hep-th/0608045 · doi:10.1016/j.aop.2006.09.006
Abstract
We provide a general method for studying a manifestly covariant formulation of -form gauge theories on the de Sitter space. This is done by stereographically projecting the corresponding theories, defined on flat Minkowski space, onto the surface of a de Sitter hyperboloid. The gauge fields in the two descriptions are mapped by conformal Killing vectors allowing for a very transparent analysis and compact presentation of results. As applications, the axial anomaly is computed and the electric-magnetic duality is exhibited. Finally, the zero curvature limit is shown to yield consistent results.
arXiv comment17 pages; LaTex; added references, minor changes
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- Longitudinal Doppler effect in de Sitter expanding universe
- Energy, momentum and angular momentum conservations in de Sitter special relativity