Hall viscosity to entropy ratio in higher derivative theories

TL;DR

This paper investigates how higher derivative corrections in the gravitational dual affect the Hall viscosity to entropy ratio in an AdS4 spacetime, revealing that such corrections can alter the ratio at different derivative orders.

Contribution

It provides a detailed analysis of the impact of higher derivative corrections on the Hall viscosity to entropy ratio within gauge/gravity duality, including both gauge sector and gravity sector modifications.

Findings

The ratio is corrected at leading order when higher derivatives are added to the gauge sector.

In the probe limit, the correction to the ratio is computed explicitly on a charged black brane background.

Higher derivative R^2 corrections in the gravity sector may alter the ratio at the sixth derivative level.

Abstract

In this paper based on the basic principles of gauge/gravity duality we compute the hall viscosity to entropy ratio in the presence of various higher derivative corrections to the dual gravitational description embedded in an asymptotically $ AdS_{4} $ space time. As the first step of our analysis, considering the back reaction we impose higher derivative corrections to the abelian gauge sector of the theory where we notice that the ratio indeed gets corrected at the leading order in the coupling. Considering the probe limit as a special case we compute this leading order correction over the fixed background of the charged black brane solution. Finally we consider higher derivative ($ R^{2} $) correction to the gravity sector of the theory where we notice that the above ratio might get corrected at the sixth derivative level.