Three-dimensional non-relativistic extended supergravity with cosmological constant

TL;DR

This paper develops new three-dimensional non-relativistic supergravity theories with a cosmological constant, extending known algebras and connecting to Maxwellian and Nappi-Witten superalgebras.

Contribution

It introduces novel non-relativistic superalgebras with a cosmological constant and constructs corresponding Chern-Simons supergravity actions, linking to existing supergravity models.

Findings

Constructed non-relativistic superalgebras with cosmological constant.

Derived supergravity actions invariant under these superalgebras.

Connected the new theories to Maxwellian exotic Bargmann and Nappi-Witten superalgebras.

Abstract

In this paper, we present novel non-relativistic superalgebras which correspond to supersymmetric extensions of the enlarged extended Bargmann algebra. The three-dimensional non-relativistic Chern-Simons supergravity actions invariant under the aforementioned superalgebras are constructed. The new non-relativistic superalgebras allow to accommodate a cosmological constant in a non-relativistic supergravity theory. Interestingly, we show that one of the non-relativistic supergravity theories presented here leads to the recently introduced Maxwellian exotic Bargmann supergravity when the flat limit $\ell \rightarrow\infty$ is considered. Besides, we show that both descriptions can be written in terms of a supersymmetric extension of the Nappi-Witten algebra or the extended Newton-Hooke superalgebra.