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

TL;DR

This paper explores non-relativistic limits of the N=6 Chern-Simons-Matter theory from M2-branes, revealing a new superconformal algebra with 14 supercharges in (1+2) dimensions.

Contribution

It introduces a novel non-relativistic superconformal algebra with maximal supersymmetry of 14 supercharges, expanding understanding of supersymmetry in lower-dimensional non-relativistic theories.

Findings

Identified multiple non-relativistic limits of the theory.

Constructed a superconformal algebra with 14 supercharges.

Explored limits with reduced supersymmetry.

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.