Heating up Galilean holography

TL;DR

This work constructs a holographic dual for Galilean conformal field theories by embedding the proposed non-relativistic geometries into type IIB string theory using the Null Melvin Twist, starting from twisted ${\cal N}=4$ SYM. It presents vacuum and non-extremal (finite-temperature) solutions, derives a five-dimensional effective action, and develops a careful thermodynamic framework that yields an EOS $P V = E$ in $d=2$ and a universal hydrodynamic ratio $\eta/s = \frac{1}{4\pi}$. The analysis of asymptotics and boundary terms provides a well-defined Euclidean action and thermodynamic quantities, with a consistent interpretation in a grand canonical ensemble for particle number. The results reinforce the universality of holographic transport in strongly coupled non-relativistic plasmas and outline avenues for generalizations to other dimensions and geometric realizations.

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.