Gauge Theories on A(dS) space and Killing Vectors
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0703207,
title = {Gauge Theories on A(dS) space and Killing Vectors},
author = {Rabin Banerjee and Bibhas Ranjan Majhi},
journal= {arXiv preprint arXiv:hep-th/0703207},
year = {2008}
}
Comments
previous version is expanded, 50 pages, no figures, to appear in Ann. Phys