Chern-Simons effect on the dual hydrodynamics in the Maxwell-Gauss-Bonnet gravity

TL;DR

This paper investigates how Chern-Simons effects influence dual hydrodynamics within 5D Maxwell-Gauss-Bonnet gravity, revealing dependencies of transport coefficients and contributions to chiral magnetic conductivity.

Contribution

It provides a systematic analysis of Chern-Simons effects on dual fluid transport properties, including the impact of Gauss-Bonnet and Chern-Simons couplings.

Findings

Transport coefficients depend on Gauss-Bonnet and Chern-Simons couplings.

New anomalous term affects chiral magnetic conductivity.

Constructed first-order perturbative black brane solution.

Abstract

Following the previous work 1103.3773, we give a more general and systematic discussion on the Chern-Simons effect in the 5-dimensional Maxwell-Gauss-Bonnet gravity. After constructing the first order perturbative black brane solution, we extract the stress tensor and charge current of dual fluid. From these results, we find out the dependence of some transport coefficients on the Gauss-Bonnet coupling $\alpha$ and Chern-Simons coupling $\kappa_{cs}$. We also show that the new anomalous term can provide an additional contribution to the anomalous chiral magnetic conductivity.