Rotational holographic transport from Kerr-Newman-AdS black hole

We consider rotational holographic transport in strongly coupled $2+1$-dimensional systems, from the point of view of $3+1$-dimensional gravity. We consider the moment of inertia $I$ as a kind of transport coefficient, identified with the moment of inertia of a charged rotating black hole in ${\mathrm{AdS}}_4$ background. In the low-temperature region, we find the behavior of the density $I/A$ with temperature $T$ and angular velocity $\Omega$ and find a quadratic behavior for $\partial (I/A)/\partial \Omega$ with $T$, in the presence of some charge $Q$.