Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
arXiv:1205.6036 · doi:10.3842/SIGMA.2012.058
Abstract
The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones. The complete set of Killing-Yano tensors of the Einstein-Sasaki spaces are presented. For this purpose the Killing forms of the Calabi-Yau cone over the Einstein-Sasaki manifold are constructed. Two new Killing forms on Einstein-Sasaki manifolds are identified associated with the complex volume form of the cone manifolds. Finally the Killing forms on mixed 3-Sasaki manifolds are briefly described.
arXiv comment15 pages; text revised in Section 3.2, references added
References in corpus (27)
- Supersymmetric AdS_5 solutions of M-theory
- General Kerr-NUT-AdS Metrics in All Dimensions
- Duality and the Signature of Space-Time
- Toric Sasaki-Einstein metrics on S^2 x S^3
- Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
- Bohm and Einstein-Sasaki Metrics, Black Holes and Cosmological Event Horizons
- Sasaki-Einstein Metrics on S^2 x S^3
- Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime
- Cones, Tri-Sasakian Structures and Superconformal Invariance
- Special geometry of Euclidean supersymmetry II: hypermultiplets and the c-map
- Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes
- Generalized hidden symmetries and the Kerr-Sen black hole
- Complete Set of Commuting Symmetry Operators for the Klein-Gordon Equation in Generalized Higher-Dimensional Kerr-NUT-(A)dS Spacetimes
- Dirac Equation in Kerr-NUT-(A)dS Spacetimes: Intrinsic Characterization of Separability in All Dimensions
- Actions For (2,1) Sigma-Models and Strings
- 3-Sasakian Manifolds
- Symmetries of the Dirac operator with skew-symmetric torsion
- Stationary strings and branes in the higher-dimensional Kerr-NUT-(A)dS spacetimes
- New Einstein-Sasaki and Einstein Spaces from Kerr-de Sitter
- Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime
- Sasakian Geometry, Holonomy, and Supersymmetry
- Mixed 3-Sasakian structures and curvature
- Killing forms on the five-dimensional Einstein-Sasaki Y(p,q) spaces
- On the supersymmetric limit of Kerr-NUT-AdS metrics
- Killing spinors in supergravity with 4-fluxes
- Conformal Killing-Yano Tensors on Manifolds with Mixed 3-Structures
- Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds
Cited by in corpus (5)
- Killing forms on the five-dimensional Einstein-Sasaki Y(p,q) spaces
- Geometry of Lax pairs: particle motion and Killing-Yano tensors
- Special Killing forms on toric Sasaki-Einstein manifolds
- A Deformation of Sasakian Structure in the Presence of Torsion and Supergravity Solutions
- Generalized action-angle coordinates in toric contact spaces