On the supersymmetric limit of Kerr-NUT-AdS metrics
arXiv:0902.1999 · doi:10.1016/j.physletb.2009.03.050
Abstract
Generalizing the scaling limit of Martelli and Sparks [hep-th/0505027] into an arbitrary number of spacetime dimensions we re-obtain the (most general explicitly known) Einstein-Sasaki spaces constructed by Chen, Lu, and Pope [hep-th/0604125]. We demonstrate that this limit has a well-defined geometrical meaning which links together the principal conformal Killing-Yano tensor of the original Kerr-NUT-(A)dS spacetime, the Kahler 2-form of the resulting Einstein-Kahler base, and the Sasakian 1-form of the final Einstein-Sasaki space. The obtained Einstein-Sasaki space possesses the tower of Killing-Yano tensors of increasing rank, underlined by the existence of Killing spinors. A similar tower of hidden symmetries is observed in the original (odd-dimensional) Kerr-NUT-(A)dS spacetime. This rises an interesting question whether also these symmetries can be related to the existence of some "generalized" Killing spinor.
8 pages, no figures, v2:upgraded references and corrected typos
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- Local metrics admitting a principal Killing-Yano tensor with torsion
- Integrability Conditions for Killing-Yano Tensors and Conformal Killing-Yano Tensors
- Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
- Spacetimes with a separable Klein-Gordon equation in higher dimensions
- A Deformation of Sasakian Structure in the Presence of Torsion and Supergravity Solutions
- Deformed and twisted black holes with NUTs
- No more CKY two-forms in the NHEK
- Black hole spacetimes with Killing-Yano symmetries