Brane induced supersymmetry breaking and de Sitter supergravity

TL;DR

This paper constructs a four-dimensional supergravity model with spontaneously broken supersymmetry that admits de Sitter vacua, using a brane-induced approach involving a goldstino action in superspace.

Contribution

It introduces a novel coupling of supergravity to a brane-based goldstino action, leading to a new realization of supersymmetry breaking with de Sitter solutions.

Findings

The action matches earlier nilpotent superfield supergravities at quadratic order.

Higher-order goldstino contributions require non-linear field redefinitions.

In unitary gauge, the model reduces to the Volkov-Soroka supergravity.

Abstract

We obtain a four-dimensional supergravity with spontaneously broken supersymmetry 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.