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

Understand

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.