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.
Generalized cosmological term in D = 4 supergravity from a new AdS-Lorentz superalgebra / Penafiel, D. M.; Ravera, L.. - In: THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS. - ISSN 1434-6044. - ELETTRONICO. - 78:11(2018), pp. 1-14. [10.1140/epjc/s10052-018-6421-9]
Generalized cosmological term in D = 4 supergravity from a new AdS-Lorentz superalgebra
Ravera L.
2018
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.File | Dimensione | Formato | |
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Generalized cosmological term in D = 4 supergravity from a new AdS-Lorentz superalgebra.pdf
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https://hdl.handle.net/11583/2876403