A modulated shear to entropy ratio

TL;DR

This paper investigates how correlation functions and transport coefficients are spatially modulated in an equilibrated phase of Einstein-Maxwell gravity, revealing that the shear to entropy ratio and other correlators vary periodically.

Contribution

It provides the first analysis of modulated correlation functions and transport ratios in a holographic phase with spatial modulation, including analytic results near phase transitions.

Findings

The shear to entropy ratio is spatially modulated.

Conductivity and correlation functions exhibit spatial modulation.

Analytic expressions are obtained near the phase transition.

Abstract

We study correlation functions in an equilibrated spatially modulated phase of Einstein-Maxwell two-derivative gravity. We find that the ratio of the appropriate low frequency limit of the stress-stress two point function to the entropy density is modulated. The conductivity, the stress-current and current-stress correlation functions are also modulated. At temperatures close to the phase transition we obtain analytic expressions for some of the correlation functions.