Fayet-Iliopoulos terms in supergravity without gauged R-symmetry

TL;DR

This paper introduces a new supergravity-Maxwell theory with a novel Fayet-Iliopoulos term that enables spontaneous supersymmetry breaking without gauging R-symmetry, allowing for gravitino mass and scalar potential uplift.

Contribution

It presents a new embedding of Fayet-Iliopoulos terms in supergravity that does not require gauged R-symmetry, with applications to matter couplings and uplift mechanisms.

Findings

Spontaneous supersymmetry breaking achieved without gauging R-symmetry.

A positive scalar potential uplift similar to $ar{D3}$ constructions.

Natural description using constrained multiplets.

Abstract

We construct a supergravity-Maxwell theory with a novel embedding of the Fayet-Iliopoulos D-term, leading to spontaneous supersymmetry breaking. The gauging of the R-symmetry is not required and a gravitino mass is allowed for a generic vacuum. When matter couplings are introduced, an uplift through a positive definite contribution to the scalar potential is obtained. We observe a notable similarity to the $\overline{D3}$ uplift constructions and we give a natural description in terms of constrained multiplets.