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

Abstract

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.

New Fayet-Iliopoulos terms in $$ \mathcal{N}=2 $$ supergravity

“…New Fayet-Iliopoulos terms have been recently introduced for N = 1 supergravity theories that do not require the gauging of the R-symmetry [22][23][24][25], and have been studied and developed in a series of publications [71][72][73][74][75][76][77][78]. To highlight some interesting aspects of these constructions let us mention that new type of scalar potentials can be introduced that lead to new possibilities for inflation in supergravity [24,72], but also to new possibilities regarding the vacuum structure [22,25], while the matter content of the theory is still described by standard N = 1 supermultiplets, including the FI gauge multiplet.…”

Minimal Starobinsky supergravity coupled to a dilaton-axion superfield

“…The authors are grateful to Hiroyuki Abe for his collaboration on related work in Refs. [23,28] and Sergei Kuzenko for correspondence. S.A. was supported in part by a Waseda University Grant for Special Research Projects (Project number: 2019E-059).…”

“…[18,19]. The viable SSB after the Starobinsky inflation, which gives rise to an adjustable (or observable) cosmological constant, is also possible by the use of the alternative Fayetlliopoulos (FI) terms without the gauging of the R-symmetry [20,21,22,23]. However, an origin of those FI terms in string theory and a restoration of another supersymmetry are still unclear, see e.g., Refs.…”

“…Though we did our calculations with the DBI kinetic terms for the vector multiplet, in this paper we only use the Maxwell-type kinetic terms for simplicity, because the DBI structure does not significantly affect the Starobinsky inflation and the moduli stabilization in question, according to our findings (see also Refs. [18,23,28] for more).…”

Superconformal vector multiplet self-couplings and generalised Fayet-Iliopoulos terms

“…In the literature there have appeared various applications of the generalised FI terms [21,22,23,24,25,26,27,28,29,30,31], including inflationary cosmological models.…”