Scanning of the supersymmetry breaking scale and the gravitino mass in supergravity

We consider the minimal three-form $$ mathcal{n} $$ = 1 supergravity coupled to nilpotent three-form chiral superfields. the supersymmetry breaking is sourced by the three-forms of the chiral multiplets, while the value of the gravitino mass is controlled by the three-form of the supergravity multiplet. the three-forms can nucleate membranes which scan both the supersymmetry breaking scale and the gravitino mass. the peculiar supergravity feature that the cosmological constant is the sum of a posictive contribution from the super-symmetry breaking scale and a negative contribution from the gravitino mass makes the cosmological constant jump. this can lead to a phenomenologically allowed small value of the cosmological constant even though the supersymmetry breaking scale and the gravitino mass are dynamically large.