Killing-Yano tensors and some applications

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.

36 pages, no figures

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• Local metrics admitting a principal Killing-Yano tensor with torsion
• Geometry of Lax pairs: particle motion and Killing-Yano tensors
• Symmetry operators and decoupled equations for linear fields on black hole spacetimes
• Integrability Conditions for Killing-Yano Tensors and Conformal Killing-Yano Tensors
• Rational first integrals of geodesic equations and generalised hidden symmetries
• New currents with Killing-Yano tensors
• Symmetry operators of Killing spinors and superalgebras in AdS_5
• Killing-Yano Cotton Currents
• A Deformation of Sasakian Structure in the Presence of Torsion and Supergravity Solutions
• Tensionless Strings and Killing(-Yano) Tensors
• Uses of Killing and Killing-Yano Tensors
• Killing-Yano symmetry of Kaluza-Klein black holes in five dimensions
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• A Class of Integrable Metrics
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