Constraints on tachyon inflationary models with an AdS/CFT correspondence

TL;DR

This paper explores how the AdS/CFT correspondence influences tachyon-driven inflation, showing that it can produce observable effects on gravitational wave spectra consistent with Planck data.

Contribution

It introduces a model of tachyon inflation incorporating AdS/CFT corrections and demonstrates compatibility with observational constraints.

Findings

AdS/CFT corrections affect inflationary parameters.

The model predicts a tensor-to-scalar ratio compatible with Planck data.

Imprints of AdS/CFT may be observable in gravitational wave spectra.

Abstract

In order to study the effect of the anti de Sitter/ conformal field theory correspondence (AdS/CFT) on the primordial inflationary era, we consider a universe filled with a tachyon field in a slow-roll regime. In this context, the background and perturbative parameters characterising the inflationary era are related to the standard one by correction terms. We show a clear agreement between the theoretical prediction and the observational data for the above mentioned model. The main results of our work are illustrated for an exponential potential. We show that, for a suitable conformal anomaly coefficient, AdS/CFT correspondence might leave its imprints on the spectrum of the gravitational waves amplitude with a tensor to scalar ratio, $r$, of the perturbations compatible with Planck data.