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.
Categories: hep-th gr-qc