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 [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.
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Citas:
---------- APA ----------
(2012)
. Hidden symmetries and supergravity solutions. Journal of Mathematical Physics, 53(4).
http://dx.doi.org/10.1063/1.3698087---------- CHICAGO ----------
Santillan, O.P.
"Hidden symmetries and supergravity solutions"
. Journal of Mathematical Physics 53, no. 4
(2012).
http://dx.doi.org/10.1063/1.3698087---------- MLA ----------
Santillan, O.P.
"Hidden symmetries and supergravity solutions"
. Journal of Mathematical Physics, vol. 53, no. 4, 2012.
http://dx.doi.org/10.1063/1.3698087---------- VANCOUVER ----------
Santillan, O.P. Hidden symmetries and supergravity solutions. J. Math. Phys. 2012;53(4).
http://dx.doi.org/10.1063/1.3698087