# Polonyi-Starobinsky supergravity with inflaton in a massive vector multiplet with DBI and FI terms

## TL;DR

This paper develops a supergravity inflationary model incorporating a massive vector multiplet with DBI and FI terms, capable of explaining dark energy and supersymmetry breaking post-inflation.

## Contribution

It introduces a novel supergravity model with a massive vector multiplet, DBI and FI terms, and a modified Polonyi sector, unifying inflation, dark energy, and supersymmetry breaking.

## Key findings

- Model reproduces Starobinsky inflation
- Accommodates positive cosmological constant
- Enables high-scale supersymmetry breaking

## Abstract

We propose the Starobinsky-type inflationary model in the matter-coupled $N=1$ four-dimensional supergravity with the massive vector multiplet that has inflaton (scalaron) and goldstino amongst its field components, whose action includes the Dirac-Born-Infeld-type kinetic term and the generalized (new) Fayet-Iliopoulos-type term, without gauging the R-symmetry. The $N=1$ chiral matter ("hidden sector") is described by the modified Polonyi model needed for spontaneous supersymmetry breaking after inflation. We compute the bosonic action and the scalar potential of the model, and show that it can accommodate the positive (observed) cosmological constant (as the dark energy) and the spontaneous supersymmetry breaking at high scale after the Starobinsky inflation.