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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todo:paper_00222488_v53_n4_p_Santillan2023-10-03T14:29:49Z Hidden symmetries and supergravity solutions Santillan, O.P. 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. Fil:Santillan, O.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00222488_v53_n4_p_Santillan |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
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. |
format |
JOUR |
author |
Santillan, O.P. |
spellingShingle |
Santillan, O.P. Hidden symmetries and supergravity solutions |
author_facet |
Santillan, O.P. |
author_sort |
Santillan, O.P. |
title |
Hidden symmetries and supergravity solutions |
title_short |
Hidden symmetries and supergravity solutions |
title_full |
Hidden symmetries and supergravity solutions |
title_fullStr |
Hidden symmetries and supergravity solutions |
title_full_unstemmed |
Hidden symmetries and supergravity solutions |
title_sort |
hidden symmetries and supergravity solutions |
url |
http://hdl.handle.net/20.500.12110/paper_00222488_v53_n4_p_Santillan |
work_keys_str_mv |
AT santillanop hiddensymmetriesandsupergravitysolutions |
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1807317689122684928 |