Three-dimensional non-relativistic extended supergravity with cosmological constant

Patrick Concha; Lucrezia Ravera; Evelyn Rodríguez

doi:10.1140/epjc/s10052-020-08685-2

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2020) 80: 1105
https://doi.org/10.1140/epjc/s10052-020-08685-2

Regular Article – Theoretical Physics

Three-dimensional non-relativistic extended supergravity with cosmological constant

Patrick Concha¹^a, Lucrezia Ravera²^,3 and Evelyn Rodríguez⁴

¹ Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Alonso de Ribera 2850, Concepción, Chile
² DISAT, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy
³ INFN, Sezione di Torino, Via P. Giuria 1, 10125, Turin, Italy
⁴ Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Viña del Mar, Chile

^a patrick.concha@ucsc.cl

Received: 29 August 2020
Accepted: 18 November 2020
Published online: 2 December 2020

Abstract

In this paper, we present two 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 $ℓ \to \infty$ $\ell \rightarrow \infty$ 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.

© The Author(s) 2020

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