Does the first chaotic inflation model in supergravity provide the best fit to the Planck data?

Abstract

I describe the first model of chaotic inflation in supergravity, which was proposed by Goncharov and the present author in 1983. The inflaton potential of this model has a plateau-type behavior $V_0(1-\frac{8}{3}{e}^{-\sqrt{6}|\varphi |})$ at large values of the inflaton field. This model predicts $n_s=1-\frac{2}{N}\approx 0.967$ and $r=\frac{4}{3N^2}\approx 4\times 10^{-4}$, in good agreement with the Planck data. I propose a slight generalization of this model, which allows to describe not only inflation but also dark energy and supersymmetry breaking.

Comments: 9 pages, 3 figures, references added