Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes

Details Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes

2001-08-09

arxiv.org/abs/gr-qc/0108029v1

Int.J.Mod.Phys. A17 (2002) 3737-3748

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 8 pages

Scientific paper

10.1142/S0217751X02011023

The presence of Killing-Yano tensors implies the existence of non-generic supercharges in spinning point particle theories on curved backgrounds. Dual metrics are defined through their associated non-degenerate Killing tensors of valence two. Siklos spacetimes, which are the only non-trivial Einstein spaces conformal to non-flat pp-waves are investigated in regards to the existence of their corresponding Killing and Killing-Yano tensors. It is found that under some restrictions, pp-wave metrics and Siklos spacetimes admit dual metrics and non-generic supercharges. Possible significance of those dual spacetimes are discussed.

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