Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra
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.
Keywords
Cite
@article{arxiv.1807.07673,
title = {Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra},
author = {Diego M. Peñafiel and Lucrezia Ravera},
journal= {arXiv preprint arXiv:1807.07673},
year = {2018}
}
Comments
25 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