Gauge Theories on de Sitter space and Killing Vectors

Details Gauge Theories on de Sitter space and Killing Vectors Gauge Theories on de Sitter space and Killing Vectors

2006-08-07

arxiv.org/abs/hep-th/0608045v2

AnnalsPhys.322:2129-2144,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages; LaTex; added references, minor changes

Scientific paper

10.1016/j.aop.2006.09.006

We provide a general method for studying a manifestly covariant formulation of $p$-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.

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