Hidden symmetries and supergravity solutions

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 [G. Papadopoulos, Class. Quantum Grav.25, 105016 (2008)]10.1088/0264-9381/25/10/105016 for Killing-Yano tensors...

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Detalles Bibliográficos
Autor principal: Santillan, O.P.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2012
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00222488_v53_n4_p_Santillan
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Sumario: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 [G. Papadopoulos, Class. Quantum Grav.25, 105016 (2008)]10.1088/0264-9381/25/10/105016 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. © 2012 American Institute of Physics.