Holographic studies of energy losses in Kerr-AdS$_5$

The 5-dimensional Kerr-AdS black holes are holographically dual to the thermal ensemble of N=4 SYM at strong coupling on the cylinder $R\times S^3$ This allows to describe a rotating quark-gluon plasma using classical gravity in Kerr-Ad$_5$. We calculate the thermodynamical quantities of Kerr-Ad$_5$ and find that the rotation affects on the Hawing-Page phase transition.
Using the holographic prescription we calculate the energy of a static quark under the assumption that the rotational parameters are small. In the holographic description, the heavy quark can be considered through a string hanging towards the black hole horizon with a fixed endpoint attached to the boundary of the Kerr-Ad$_5$ background. We show that at high temperatures the contribution from the rotation is suppressed, thus the result turns to be as for the case of the planar black brane. We also present the general formulae for the holographic drag forces acting on a heavy quark for the case of two arbitrary rotational parameters.