2009/02/28 by David Kubiznak, David Kubizňák
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Conformal map #Einstein #Einstein's constant #Geometric Analysis and Curvature Flows #Geometry #Homogeneous space #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Philosophy #Physics #Pure mathematics #Quantum mechanics #Scaling #Scaling limit #Space (punctuation) #Spacetime #Spinor #Tensor (intrinsic definition) #Theoretical physics #Tower #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2009.03.050
published as Phys.Lett.B675:110-115, 2009 · 8 pages, no figures, v2:upgraded references and corrected typos
openalex publication_date 2009/03/27 · arxiv created 2009/04/07 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.