Higher-dimensional lifts of Killing-Yano forms with torsion
arXiv:1511.09310 · doi:10.1088/1361-6382/34/2/025005
Abstract
Using a Kaluza-Klein-type lift, it is shown how Killing-Yano forms with torsion can remain symmetries of a higher-dimensional geometry, subject to an algebraic condition between the Kaluza-Klein field strength and the Killing-Yano form. The lift condition's significance is highlighted, and is satisfied by examples of black holes in supergravity.
16 pages; v2: lift condition explicitly solved
References in corpus (12)
- `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
- Hidden Symmetries of Dynamics in Classical and Quantum Physics
- Generalized hidden symmetries and the Kerr-Sen black hole
- Equal charge black holes and seven dimensional gauged supergravity
- Killing(-Yano) Tensors in String Theory
- Symmetries of the Dirac operator with skew-symmetric torsion
- New Rotating Non-Extremal Black Holes in D=5 Maximal Gauged Supergravity
- Killing-Yano equations and G-structures
- Hidden symmetry in the presence of fluxes
- Hidden symmetries of Eisenhart-Duval lift metrics and the Dirac equation with flux
- Killing-Yano forms and Killing tensors on a warped space
- Uniqueness of Rotating Charged Black Holes in Five-Dimensional Minimal Gauged Supergravity