https://doi.org/10.1140/epjc/s10052-021-09456-3
Regular Article - Theoretical Physics
Three-dimensional exotic Newtonian supergravity theory with cosmological constant
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 Física, Universidad del Bío-Bío, Avenida Collao 1202, Casilla 5-C, Concepción, Chile
Received:
11
May
2021
Accepted:
12
July
2021
Published online:
22
July
2021
We present a supersymmetric extension of the exotic Newtonian Chern–Simons gravity theory in three spacetime dimensions. The underlying new non-relativistic superalgebra is obtained by expanding the 
AdS superalgebra and can be written as two copies of the enhanced Nappi–Witten algebra, one of which is augmented by supersymmetry. We show that the exotic Newtonian superalgebra allows to introduce a cosmological constant to the extended Newtonian supergravity. Interestingly, the obtained supergravity action contains the extended Newton–Hooke supergravity as a sub-case.
© The Author(s) 2021
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