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

## TL;DR

This paper uses reconstruction techniques to determine parameters of $oldsymbol{ extalpha}$-attractor supergravity inflation models, linking the inflaton's horizon crossing value to post-inflation constraints, assuming a detectable tensor-to-scalar ratio.

## Contribution

It introduces a method to recover potential parameters and the inflaton vacuum expectation value in $ extalpha$-attractor models, aiding future observational constraints.

## Key findings

- Reconstructed potential parameters for $ extalpha$-attractor models.
- Derived inflaton vacuum expectation value at horizon crossing.
- Linked the inflaton value to post-inflationary phase constraints.

## 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.