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arxiv: 1504.01898 · v4 · pith:ADLXE226new · submitted 2015-04-08 · ✦ hep-th · gr-qc

Generalized supersymmetric cosmological term in N=1 Supergravity

classification ✦ hep-th gr-qc
keywords supergravitycosmologicalgeneralizedlorentzsuperalgebrasupersymmetricactionterm
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An alternative way of introducing the supersymmetric cosmological term in a supergravity theory is presented. We show that the $AdS$-Lorentz superalgebra allows to construct a geometrical formulation of supergravity containing a generalized supersymmetric cosmological constant. The $N=1$, $D=4$ supergravity action is built only from the curvatures of the $AdS$-Lorentz superalgebra and corresponds to a MacDowell-Mansouri like action. The extension to a generalized $AdS$-Lorentz superalgebra is also analyzed.

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