Constraints on tachyon inflationary models with an AdS/CFT
  correspondence
  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.
