https://doi.org/10.1140/epjc/s10052-018-6421-9
Regular Article - Theoretical Physics
Generalized cosmological term in 
supergravity from a new AdS–Lorentz superalgebra
1
Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaiso, Chile
2
INFN, Sezione di Milano, Via Celoria 16, 20133, Milan, Italy
* e-mail: lucrezia.ravera@mi.infn.it
Received:
7
September
2018
Accepted:
5
November
2018
Published online:
17
November
2018
A new supersymmetrization of the so-called AdS–Lorentz algebra is presented. It involves two fermionic generators and is obtained by performing an abelian semigroup expansion of the superalgebra 
. The peculiar properties of the aforesaid expansion method are then exploited to construct a supergravity action involving a generalized supersymmetric cosmological term in a geometric way, only from the curvatures of the novel superalgebra. The action obtained with this procedure is a MacDowell–Mansouri like action. Gauge invariance and supersymmetry of the action are also analyzed.
© The Author(s), 2018
