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Three-dimensional non-relativistic extended supergravity with cosmological constant
Dr. Concha-Aguilera, Patrick 
Facultad de Ingeniería 
Dra. Rodríguez-Durán, Evelyn 
Ravera, Lucrezia
10.1140/epjc/s10052-020-08685-2
Springer Nature
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.
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