Geometric polarization of plasmas and Love numbers of AdS black branes

TL;DR

This paper uses holography to analyze how strongly-coupled plasmas polarize in curved geometries, calculating their stress-energy tensor correlations and Love numbers, revealing insights into their gravitational and electric responses.

Contribution

It provides the first computation of Love numbers and electric polarization coefficients for black branes in AdS, linking gravitational deformations to plasma polarization.

Findings

Computed the Love numbers of AdS black branes.

Determined static electric polarization coefficients.

Linked plasma polarization to gravitational tidal deformations.

Abstract

We use AdS/CFT holography to study how a strongly-coupled plasma polarizes when the geometry where it resides is not flat. We compute the linear-response polarization coefficients, which are directly related to the static two-point correlation function of the stress-energy tensor. In the gravitational dual description, these parameters correspond to the tidal deformation coefficients---the Love numbers---of a black brane. We also compute the coefficients of static electric polarization of the plasma.