Navier-Stokes Equations on Black Hole Horizons and DC Thermoelectric Conductivity

TL;DR

This paper demonstrates that DC thermoelectric conductivity in the AdS/CFT framework can be derived by solving simplified Navier-Stokes equations on black hole horizons, linking fluid dynamics to holographic transport properties.

Contribution

It introduces a novel method to compute thermoelectric conductivity using horizon fluid dynamics within the AdS/CFT correspondence.

Findings

DC thermoelectric conductivity derived from horizon fluid equations

Navier-Stokes equations applied to black hole horizons

Establishment of a fluid dynamic approach to holographic transport

Abstract

Within the context of the AdS/CFT correspondence we show that the DC thermoelectric conductivity can be obtained by solving the linearised, time-independent and forced Navier-Stokes equations on the black hole horizon for an incompressible and charged fluid.