A family of super Schrodinger invariant Chern-Simons matter systems

TL;DR

This paper explores various non-relativistic limits of an N=3 Chern-Simons matter system, resulting in a family of super Schrödinger invariant theories with differing supersymmetries based on the degrees of freedom retained.

Contribution

It introduces a systematic way to derive multiple super Schrödinger invariant theories from a single relativistic parent theory by selecting different degrees of freedom.

Findings

Maximally supersymmetric Schrödinger invariant theory obtained by keeping all particles.

Other theories with particles and anti-particles coexistence preserve less supersymmetry.

A family of super Schrödinger invariant theories generated from the relativistic model.

Abstract

We investigate non-relativistic limits of the N=3 Chern-Simons matter system in 1+2 dimensions. The relativistic theory can generate several inequivalent super Schodinger invariant theories, depending on the degrees of freedom we choose to retain in the non-relativistic limit. The maximally supersymmetric Schrodinger invariant theory is obtained by keeping all particle degrees of freedom. The other descendants, where particles and anti-particles coexist, are also Schrodinger invariant but preserve less supersymmetries. Thus, we have a family of super Schrodinger invariant field theories produced from the parent relativistic theory.