Conformal non-relativistic hydrodynamics from gravity

TL;DR

This paper demonstrates that holographic duals of conformal non-relativistic theories exhibit hydrodynamic behavior at large scales and provides a gravitational dual description of fluid flows, including thermal conductivity calculations.

Contribution

It constructs the gravitational dual of fluid flows in non-relativistic holographic theories and computes their thermal conductivity, revealing a Prandtl number of one.

Findings

Holographic duals behave hydrodynamically at long distances

Constructed gravitational duals of non-relativistic fluid flows

Calculated thermal conductivity and found Prandtl number equals one

Abstract

We show that the recently constructed holographic duals of conformal non-relativistic theories behave hydrodynamically at long distances, and construct the gravitational dual of fluid flows in a long-wavelength approximation. We compute the thermal conductivity of the holographic conformal non-relativistic fluid. The corresponding Prandtl number is equal to one.