Generalized Killing-Yano equations in D=5 gauged supergravity

Understand

We propose a generalization of the (conformal) Killing-Yano equations relevant to D=5 minimal gauged supergravity.

• The generalization stems from the fact that the dual of the Maxwell flux, the 3-form *F, couples naturally to particles in the background as a `torsion'.
• Killing-Yano tensors in the presence of torsion preserve most of the properties of the standard Killing-Yano tensors, exploited recently for the higher-dimensional rotating black holes of vacuum gravity with cosmological constant.
• In particular, the generalized closed conformal Killing-Yano 2-form gives rise to the tower of generalized closed conformal Killing-Yano tensors of increasing rank which in turn generate the tower of Killing tensors.