Special symmetries of the charged Kerr–AdS black hole of D=5 minimal gauged supergravity

In this Letter we prove that the Hamilton–Jacobi equation in the background of the recently discovered charged Kerr–AdS black hole of D=5 minimal gauged supergravity is separable, for arbitrary values of the two rotation parameters. This allows us to write down an irreducible Killing tensor for the spacetime. As a result, we also show that the Klein–Gordon equation in this background is separable. We also consider the Dirac equation in this …