Charged, conformal non-relativistic hydrodynamics

TL;DR

This paper develops a holographic model of a charged, non-relativistic fluid with Galilean invariance, calculating its thermodynamic and hydrodynamic properties using fluid-gravity correspondence techniques.

Contribution

It introduces a string theory embedding of a charged Galilean-invariant fluid and computes its specific heat and Prandtl number, advancing non-relativistic holographic hydrodynamics.

Findings

Calculated specific heat capacity and Prandtl number for the model.

Demonstrated the embedding of Galilean-invariant fluids in string theory.

Applied fluid-gravity correspondence to non-relativistic systems.

Abstract

We embed a holographic model of an U(1) charged fluid with Galilean invariance in string theory and calculate its specific heat capacity and Prandtl number. Such theories are generated by a R-symmetry twist along a null direction of a N=1 superconformal theory. We study the hydrodynamic properties of such systems employing ideas from the fluid-gravity correspondence.