String theory duals of Lifshitz-Chern-Simons gauge theories

TL;DR

This paper constructs gravity duals for nonrelativistic 2+1 dimensional Lifshitz Chern-Simons gauge theories, revealing their geometric properties and mass gap through holographic methods.

Contribution

It introduces candidate gravity duals for Lifshitz Chern-Simons theories, connecting them to deformations of DLCQ N=4 super Yang-Mills and analyzing their groundstate geometries.

Findings

Groundstate geometries exhibit a mass gap.

Field theories are realized as deformations of DLCQ N=4 super Yang-Mills.

Holographic duals identify bulk fields corresponding to these deformations.

Abstract

We propose candidate gravity duals for a class of non-Abelian z=2 Lifshitz Chern-Simons (LCS) gauge theories studied by Mulligan, Kachru and Nayak. These are nonrelativistic gauge theories in 2+1 dimensions in which parity and time-reversal symmetries are explicitly broken by the presence of a Chern-Simons term. We show that these field theories can be realized as deformations of DLCQ N=4 super Yang-Mills theory. Using the holographic dictionary, we identify the bulk fields that are dual to these deformations. The geometries describing the groundstates of the non-Abelian LCS gauge theories realized here exhibit a mass gap.