Flows involving Lifshitz solutions

TL;DR

This paper constructs gravity solutions that describe renormalization group flows connecting relativistic and non-relativistic conformal theories, providing insights into Lifshitz holography and dual field theories.

Contribution

It presents new gravity solutions in both phenomenological and supergravity frameworks that model RG flows between different conformal theories, including Lifshitz geometries.

Findings

Constructed gravity solutions for RG flows involving Lifshitz geometries.

Provided a dual field theory description for Lifshitz solutions in supergravity.

Identified dynamical instabilities in some AdS and Lifshitz solutions.

Abstract

We construct gravity solutions describing renormalization group flows relating relativistic and non-relativistic conformal theories. We work both in a simple phenomenological theory with a massive vector field, and in an N=4, d=6 gauged supergravity theory, which can be consistently embedded in string theory. These flows offer some further insight into holography for Lifshitz geometries: in particular, they enable us to give a description of the field theory dual to the Lifshitz solutions in the latter theory. We also note that some of the AdS and Lifshitz solutions in the N=4, d=6 gauged supergravity theory are dynamically unstable.