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Gauge theories on de Sitter space and Killing vectors. (English) Zbl 1122.70023

Summary: We provide a general method for studying a manifestly covariant formulation of \(p\)-form gauge theories on de Sitter space. This is done by stereographically projecting the corresponding theories, defined on flat Minkowski space, onto the surface of 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.

MSC:

70S15 Yang-Mills and other gauge theories in mechanics of particles and systems
81T13 Yang-Mills and other gauge theories in quantum field theory
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