Fayet-Iliopoulos Terms In Supergravity Research Articles

Fayet–Iliopoulos terms in supergravity and D-term inflation by supersymmetry breaking

We review recent developments on Fayet–Iliopoulos terms in four-dimensional supergravity and discuss their applications to natural models of inflation driven by supersymmetry breaking with the superpartner of the goldstino (sgoldstino) playing the role of the inflaton.

Three-forms and Fayet-Iliopoulos terms in supergravity: scanning Planck mass and BPS domain walls

We embed a new three-form vector multiplet in mathcal{N} = 1 supergravity and we show that it can be used to generate dynamically the Hilbert-Einstein term. We then recast the theory into the standard Freedman model and we argue that a pure Fayet-Iliopoulos term is in tension with the Weak Gravity Conjecture. Finally, we couple the three-form to a super-membrane and study BPS domain walls within matter-coupled supergravity. In these models, the Planck mass takes different values on the domain wall sides.

Massive vector multiplet with Dirac-Born-Infeld and new Fayet-Iliopoulos terms in supergravity

We propose a four-dimensional N = 1 supergravity-based Starobinsky-type inflationary model in terms of a single massive vector multiplet, whose action includes the Dirac-Born-Infeld-type kinetic terms and a generalized (new) Fayet-Iliopoulos-type term, without gauging the R-symmetry. The bosonic action and the scalar potential are computed. The inflaton is the superpartner of the Goldstino in our model, and supersymmetry is spontaneously broken after inflation by the D-type mechanism, whose scale is related to the value of the cosmological constant.

Fayet-Iliopoulos terms in supergravity without gauged R-symmetry

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{D}3 uplift constructions and we give a natural description in terms of constrained multiplets.

Supergravity with Fayet‐Iliopoulos terms and R‐symmetry

AbstractThe simplest examples of gauged supergravities are N = 1 or N = 2 theories with Fayet‐Iliopoulos (FI) terms. FI terms in supergravity imply that the R‐symmetry is gauged. Also the U(1) or SU(2) local symmetries of Kähler and quaternionic‐Kähler manifolds contribute to R‐symmetry gauge fields. This short review clarifies the relations.