Three-dimensional Maxwellian extended Bargmann supergravity

TL;DR

This paper develops a new three-dimensional non-relativistic supergravity theory based on a Maxwellian extended Bargmann superalgebra, expanding the understanding of non-relativistic supergravity models.

Contribution

It constructs a novel Maxwellian extended Bargmann supergravity by manually extending the algebra with new fermionic and bosonic generators, including a supersymmetric version.

Findings

Introduces a consistent non-relativistic supergravity action.

Shows the extended Bargmann supergravity as a special case.

Provides a framework for further non-relativistic supergravity research.

Abstract

We present a novel three-dimensional non-relativistic Chern-Simons supergravity theory invariant under a Maxwellian extended Bargmann superalgebra. We first study the non-relativistic limits of the minimal and the $\mathcal{N}=2$ Maxwell superalgebras. We show that a well-defined Maxwellian extended Bargmann supergravity requires to construct by hand a supersymmetric extension of the Maxwellian extended Bargmann algebra by introducing additional fermionic and bosonic generators. The new non-relativistic supergravity action presented here contains the extended Bargmann supergravity as a sub-case.