Gauge Theories on A(dS) space and Killing Vectors

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dc.creatorBanerjee, Rabin
dc.creatorMajhi, Bibhas Ranjan
dc.date2007-03-23
dc.date2007-08-23
dc.date.accessioned2026-07-07T11:44:11Z
dc.date.available2026-07-07T11:44:11Z
dc.descriptionWe 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.
dc.descriptionprevious version is expanded, 50 pages, no figures, to appear in Ann. Phys
dc.identifierhttps://arxiv.org/abs/hep-th/0703207
dc.identifierhttp://arxiv.org/abs/hep-th/0703207
dc.identifierAnnalsPhys.323:705-751,2008
dc.identifierdoi:10.1016/j.aop.2007.08.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201513
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGauge Theories on A(dS) space and Killing Vectors
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