Reconstruction of $\alpha$-attractor supergravity models of inflation

Abstract

In this paper, we apply reconstruction techniques to recover the potential parameters for a particular class of single-field models, the $\alpha$-attractor (supergravity) models of inflation. This also allows to derive the inflaton vacuum expectation value at horizon crossing. We show how to use this value as one of the input variables to constrain the postaccelerated inflationary phase. We assume that the tensor-to-scalar ratio $r$ is of the order of $10^{-3}$ , a level reachable by the expected sensitivity of the next-generation CMB experiments.

arXiv comment10 pages, LaTeX, some typos corrected

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• Constraining the general reheating phase in the $\alpha$-attractor inflationary cosmology
• Reconstruction of constant slow-roll inflation
• The Reconstruction of Non-Minimal Derivative Coupling Inflationary Potentials
• Supergravity, $\alpha$-attractors and primordial non-Gaussianity