Rotational holographic transport from KN-AdS black hole

Abstract

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 $Ad{S}_4$ background. In the low-temperature region, we find the behaviour of the density $I/A$ with temperature $T$ and angular velocity $\Omega$, and find a quadratic behaviour for $\partial (I/A)/\partial \Omega$ with $T$, in the presence of some charge $Q$.

arXiv comment15 pages, 5 figures; comments added