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 Kähler potential as K=-alpha log (T+overline{T}) and the superpotential as a sum of a constant and a linear term, we find that viable inflation is possible for 3le alpha le alpha _mathrm{max} where alpha _mathrm{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} hbox {GeV}. In the case of alpha >3 the axion gets the tree-level (non-tachyonic) mass comparable to the inflaton mass.

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