Probing the holographic model of $\mathcal{N} =4$ SYM rotating quark-gluon plasma

We study Wilson loops in holographic duals of the $\mathcal{N}=4$ SYM quark-gluon plasma. For this we consider the Schwarzschild-$AdS_5$ and Kerr-$AdS_5$ black holes, which are dual to the non-rotating and rotating QGPs, correspondingly. From temporal Wilson loops we find the heavy quark potentials in both backgrounds. For the temperature above the critical temperature we observe the Coulomb-like behavior of the potentials. We find that increasing the rotation the interquark distance decreases, we also see that the increase of the temperature yields the similar behavior. Moreover, at high temperatures for certain values of parameters the potentials in Schwarzschild-$AdS_5$ and Kerr-$AdS_5$ are close to that one calculated in the AdS black brane with a planar horizon. We also explore holographic light-like Wilson-loops from which the jet-quenching parameters of a fast parton are extracted. We find that the rotation increases the value of the jet-quenching parameter. However, at high temperatures the jet-quenching parameters have a cubic dependence on the temperature as for the the AdS black brane.Comment: 32 pp, 11 fig