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arXiv · 1807.07673

Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra

Diego M. Peñafiel·Lucrezia Ravera
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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.

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Diego M. Peñafiel, Lucrezia Ravera. 2018-11-22. Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra. https://doi.org/10.1140/epjc%2Fs10052-018-6421-9

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