Killing-Yano tensors and some applications

Details Killing-Yano tensors and some applications Killing-Yano tensors and some applications

2011-07-31

arxiv.org/abs/1108.0149v2

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, no figures

Scientific paper

The role of Killing and Killing-Yano tensors for studying the geodesic motion of the particle and the superparticle in a curved background is reviewed. Additionally the Papadopoulos list [74] for Killing-Yano tensors in G structures is reproduced by studying the torsion types these structures admit. The Papadopoulos list deals with groups G appearing in the Berger classification, and we enlarge the list by considering additional G structures which are not of the Berger type. Possible applications of these results in the study of supersymmetric particle actions and in the AdS/CFT correspondence are outlined.

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