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

Understand

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.