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-Iliopolulos-type term without gauging the R-symmetry. The bosonic action and the scalar potential are computed. Inflaton is the superpartner of 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.

arXiv comment20 pages v2: typos corrected,appendix B and references added

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• Higher derivative three-form gauge theories and their supersymmetric extension
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• New Fayet-Iliopoulos terms in $\mathcal{N}=2$ supergravity
• Superconformal vector multiplet self-couplings and generalised Fayet-Iliopoulos terms
• Polonyi-Starobinsky supergravity with inflaton in a massive vector multiplet with DBI and FI terms
• Minimal Starobinsky supergravity coupled to dilaton-axion superfield
• No-scale supergravity with new Fayet-Iliopoulos term
• Non-trivial Extension of Starobinsky Inflation
• Aspects of the new Fayet-Iliopoulos terms
• Gravitino condensate in $N=1$ supergravity coupled to the $N=1$ supersymmetric Born-Infeld theory
• Supermassive gauginos in supergravity inflation with high-scale SUSY breaking