Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra

TL;DR

This work analyzes non-relativistic limits of the N=6 ABJM theory with a mass deformation induced by background flux, producing a novel non-relativistic superconformal algebra in three dimensions with 14 supercharges. It provides an explicit maximal NR action, derives the full Schrödinger symmetry and the NR superconformal algebra, and classifies additional limits with 8, 4, or 0 supersymmetries and their field content. The results illuminate the landscape of NR SCFTs arising from M2-brane dynamics, enabling NR indices and suggesting holographic duals with Schrödinger symmetry. The study offers a framework for connecting M2-brane gauge theories to condensed matter contexts and guides future work on NR holography and higher SUSY NR limits.

Abstract

We study non-relativistic limits of the N=6 Chern-Simons-Matter theory that arises as a low-energy limit of the M2-brane gauge theory with background flux. The model admits several different non-relativistic limits and we find that the maximal supersymmetry we construct has 14 components of supercharges, which is a novel example of non-relativistic superconformal algebra in (1+2) dimension. We also investigate the other limits that realize less supersymmetries.