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.
Highlights
Goldstino belongs to another chiral multiplet [1,2,3], whose Kahler potential and superpotential can be appropriately chosen “by hand” [4].1 This gives rise to four real physical scalars and the need to distinguish the inflaton among them, while stabilizing the remaining three scalars during a single-field inflation
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 Fayet-Iliopoulos-type term, without gauging the R-symmetry
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
Summary
The gauge fields of dilatations and U(1)A rotations are denoted by bμ and Aμ, respectively. A multiplet of conformal supergravity has charges with respect to dilatations and U(1)A rotations, called Weyl and chiral weights, respectively, which are denoted by pairs (Weyl weight, chiral weight) in what follows. Where S and F are complex scalars, and PLχ is a left-handed Weyl fermion (PL is the chiral projection operator). Where Z and Λ are fermions, and the other fields are complex scalars. The (gauge) field strength multiplet W has the weights (3/2, 3/2) and the following components: ηW =. Fab = ∂aBb − ∂bBa is the Abelian field strength, and λ and D are Majorana fermion and the real scalar, respectively. The bosonic part of the D-term of a real multiplet φ of weights (2, 0) reads [φ]D =. The Cφ and Dφ are the first and the last components of φ, respectively
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