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arXiv · hep-th/0608045

Gauge Theories on de Sitter space and Killing Vectors

Rabin Banerjee
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Abstract

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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Rabin Banerjee. 2006-08-14. Gauge Theories on de Sitter space and Killing Vectors. https://doi.org/10.1016/j.aop.2006.09.006

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