Regular Article – Theoretical Physics
Three-dimensional non-relativistic extended supergravity with cosmological constant
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
Accepted: 18 November 2020
Published online: 2 December 2020
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 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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