# Generalized dilaton-axion models of inflation, de Sitter vacua and spontaneous SUSY breaking in supergravity

## TL;DR

This paper develops unified supergravity models that explain inflation, dark energy, and SUSY breaking using a dilaton-axion field, with viable inflationary parameters and high SUSY breaking scales consistent with observations.

## Contribution

It introduces a class of supergravity models with a specific Kähler potential and superpotential that unify inflation, SUSY breaking, and dark energy phenomena.

## Key findings

- Viable inflation occurs for 3 ≤ α ≤ 7.235.
- Primordial perturbation amplitude fixes SUSY breaking scale at ~10^{13} GeV.
- Axion mass is comparable to inflaton mass for α > 3.

## Abstract

We propose the unified models of cosmological inflation, spontaneous SUSY breaking, and the dark energy (de Sitter vacuum) in $N=1$ supergravity with the dilaton-axion chiral superfield $T$ in the presence of an $N=1$ vector multiplet with the alternative Fayet-Iliopoulos term. By using the K\"ahler potential as $K=-\alpha\log(T+\bar{T})$ and the superpotential as a sum of a constant and a linear term, we find that viable inflation is possible for $3\leq\alpha\leq\alpha_{\rm max}$ where $\alpha_{\rm max}\approx 7.235$. Observations of the amplitude of primordial scalar perturbations fix the SUSY breaking scale in our models as high as $10^{13}$ GeV. In the case of $\alpha>3$ the axion gets the tree-level (non-tachyonic) mass comparable to the inflaton mass.