Gauge Theories on A(dS) space and Killing Vectors

Details Gauge Theories on A(dS) space and Killing Vectors Gauge Theories on A(dS) space and Killing Vectors

2007-03-23

arxiv.org/abs/hep-th/0703207v2

AnnalsPhys.323:705-751,2008

Physics

High Energy Physics

High Energy Physics - Theory

previous version is expanded, 50 pages, no figures, to appear in Ann. Phys

Scientific paper

10.1016/j.aop.2007.08.010

We provide a general technique for collectively analysing a manifestly covariant formulation of non-abelian gauge theories on both anti de Sitter as well as de Sitter spaces. This is done by stereographically projecting the corresponding theories, defined on a flat Minkowski space, onto the surface of the A(dS) hyperboloid. The gauge and matter fields in the two descriptions are mapped by conformal Killing vectors and conformal Killing spinors, respectively. A bilinear map connecting the spinors with the vector is established. Different forms of gauge fixing conditions and their equivalence are discussed. The U(1) axial anomaly as well as the non-abelian covariant and consistent chiral anomalies on A(dS) space are obtained. Electric-magnetic duality is demonstrated. The zero curvature limit is shown to yield consistent findings.

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