Magnetic conductivity and Chern-Simons Term in Holographic Hydrodynamics of Charged AdS Black Hole

TL;DR

This paper investigates how the Chern-Simons term influences magnetic conductivity in holographic hydrodynamics of charged AdS black holes, revealing temperature-dependent behavior linked to quantum anomalies.

Contribution

It provides explicit calculations of retarded Green functions and demonstrates the Chern-Simons term's role in inducing magnetic conductivity related to anomalies.

Findings

Magnetic conductivity is induced by the Chern-Simons term.

Conductivity increases with temperature, from non-zero at zero temperature to double at infinite temperature.

Explicit Green functions are computed in the charged AdS black hole background.

Abstract

We study the effects of the Chern-Simons term in the hydrodynamics of the five-dimensional Reissner-Nordstrom-AdS background. We work out the decoupling problem of the equations of motion and calculate the retarded Green functions explicitly. We then find that the Chern-Simons term induces the magnetic conductivity caused by the anomaly effect. It is increasing function of temperature running from a non-zero value at zero temperature to the twice the value at infinite temperature.