Heating up Galilean holography

TL;DR

This paper constructs a string theory dual for Galilean conformal invariant quantum field theories using a Null Melvin Twist, analyzes their thermodynamics, and finds universal hydrodynamic properties.

Contribution

It introduces a novel holographic model for Galilean conformal field theories via a string theory embedding using Null Melvin Twist.

Findings

Derived the dual geometry for Galilean conformal theories.

Calculated the equation of state at finite temperature.

Found the shear viscosity to entropy density ratio is 1/4π.

Abstract

We embed a holographic description of a quantum field theory with Galilean conformal invariance in string theory. The key observation is that such field theories may be realized as conventional superconformal field theories with a known string theory embedding, twisted by the R-symmetry in a light-like direction. Using the Null Melvin Twist, we construct the appropriate dual geometry and its non-extremal generalization. From the nonzero temperature solution we determine the equation of state. We also discuss the hydrodynamic regime of these non-relativistic plasmas and show that the shear viscosity to entropy density ratio takes the universal value one over four pi typical of strongly interacting field theories with gravity duals.