Lifshitz spacetimes from AdS null and cosmological solutions

TL;DR

This paper constructs and analyzes supergravity solutions with Lifshitz scaling symmetries, linking them to dual field theories such as deformed N=4 super Yang-Mills and Chern-Simons theories, and explores their holographic properties.

Contribution

It introduces new supergravity solutions with Lifshitz symmetries and discusses their dual field theories, including time-dependent and higher-dimensional cases.

Findings

Lifshitz geometries from null deformations of AdS5×S5

Holographic 2-point functions for dual operators

Connections to deformations of N=4 SYM and M2-brane theories

Abstract

We describe solutions of 10-dimensional supergravity comprising null deformations of $AdS_5\times S^5$ with a scalar field, which have $z=2$ Lifshitz symmetries. The bulk Lifshitz geometry in 3+1-dimensions arises by dimensional reduction of these solutions. The dual field theory in this case is a deformation of the N=4 super Yang-Mills theory. We discuss the holographic 2-point function of operators dual to bulk scalars. We further describe time-dependent (cosmological) solutions which have anisotropic Lifshitz scaling symmetries. We also discuss deformations of $AdS\times X$ in 11-dimensional supergravity, which are somewhat similar to the solutions above. In some cases here, we expect the field theory duals to be deformations of the Chern-Simons theories on M2-branes stacked at singularities.