# Gravitino condensate in $N=1$ supergravity coupled to the $N=1$ supersymmetric Born-Infeld theory

## TL;DR

This paper explores how a gravitino condensate within $N=1$ supergravity coupled to supersymmetric Born-Infeld theory can lead to spontaneous supersymmetry breaking, cosmological inflation, and a transition to dark energy, aligning with observational data.

## Contribution

It demonstrates the dynamical formation of a gravitino condensate that links the Born-Infeld scale to supersymmetry breaking and proposes a viable inflationary scenario consistent with Planck 2018 data.

## Key findings

- Gravitino condensate can drive slow roll inflation matching observational constraints.
- The model achieves a high inflationary scale up to $10^{12}$ GeV.
- Uplifting to a de Sitter vacuum is possible using an alternative Fayet-Iliopoulos term.

## Abstract

The $N=1$ supersymmetric Born-Infeld theory coupled to $N=1$ supergravity in four spacetime dimensions is studied in the presence of a cosmological term with spontaneous supersymmetry breaking. The consistency is achieved by compensating a negative contribution to the cosmological term from the Born-Infeld theory by a positive contribution originating from the gravitino condensate. This leads to an identification of the Born-Infeld scale with the supersymmetry breaking scale. The dynamical formation of the gravitino condensate in supergravity is reconsidered and the induced one-loop effective potential is derived. Slow roll cosmological inflation with the gravitino condensate as the inflaton (near the maximum of the effective potential) is viable against the Planck 2018 data and can lead to the inflationary (Hubble) scale as high as $10^{12}$ GeV. Uplifting the Minkowski vacuum (after inflation) to a de Sitter vacuum (dark energy) is possible by the use of the alternative Fayet-Iliopoulos term. Some major physical consequences of our scenario to reheating are briefly discussed also.