Brane induced supersymmetry breaking and de Sitter supergravity

We obtain a four-dimensional supergravity with spontaneously broken super-symmetry allowing for de sitter vacua by coupling a superspace action of minimal n = 1, d = 4 supergravity to a locally supersymmetric generalization of the volkov-akulov goldstino action describing the dynamics of a space-filling non-bps 3-brane in n = 1, d = 4 superspace. to the quadratic order in the goldstino field the obtained action coincides with earlier constructions of supergravities with nilpotent superfields, while matching the higher-order contributions will require a non-linear redefinition of fields. in the unitary gauge, in which the goldstino field is set to zero, the action coincides with that of volkov and soroka. we also show how a nilpotency constraint on a chiral curvature superfield emerges in this formulation.