Killing-Yano tensors and some applications
High Energy Physics - Theory
2015-05-30 v2 General Relativity and Quantum Cosmology
Mathematical Physics
Differential Geometry
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1108.0149,
title = {Killing-Yano tensors and some applications},
author = {O. P. Santillan},
journal= {arXiv preprint arXiv:1108.0149},
year = {2015}
}
Comments
36 pages, no figures