Superfield Formulation for Non-Relativistic Chern-Simons-Matter Theory

TL;DR

This paper develops a superfield formulation for non-relativistic Chern-Simons-Matter theories with manifest supersymmetry, connecting relativistic limits and deriving non-relativistic ABJM theory.

Contribution

It introduces a superfield approach for non-relativistic theories, enabling a clear derivation from relativistic models and providing a supersymmetric formulation of non-relativistic ABJM theory.

Findings

Superfield formulation with manifest supersymmetry for non-relativistic theories

Reduction to known non-relativistic actions from relativistic limits

Supersymmetric derivation of non-relativistic ABJM theory

Abstract

We construct a superfield formulation for non-relativistic Chern-Simons-Matter theories with manifest dynamical supersymmetry. By eliminating all the auxiliary fields, we show that the simple action reduces to the one obtained by taking non-relativistic limit from the relativistic Chern-Simons-Matter theory proposed in the literature. As a further application, we give a manifestly supersymmetric derivation of the non-relativistic ABJM theory.