Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra
arXiv:1807.07673 · doi:10.1140/epjc/s10052-018-6421-9
Abstract
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 osp(4|1). The peculiar properties of the aforesaid expansion method are then exploited to construct a D=4 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.
arXiv comment25 pages. This is a preprint of the article published in Eur. Phys. J. C 78 (2018) no.11, 945. The final authenticated version is available online at: https://doi.org/10.1140/epjc/s10052-018-6421-9
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