Cosmology at the boundary of de Sitter using the dS/QFT correspondence

TL;DR

This paper explores the use of the dS/QFT correspondence to analyze inflationary cosmology, expressing observables through dual field theory parameters and comparing predictions with CMB data to test the model's validity.

Contribution

It provides a complete formulation of cosmological observables in terms of dual field theory parameters and assesses their consistency with observational data.

Findings

Model predicts nearly scale-invariant power spectra.

Constraints from CMB data limit the parameter space.

Approach remains predictive within validity bounds.

Abstract

Using the dS/QFT correspondence in the context of inflation allows for the study of interesting, otherwise inaccessible physics. In particular, by studying inflation via its dual field theory at the boundary of the de Sitter space, it may be possible to study a regime of strongly coupled gravity at early times. The purpose of this work is to completely express cosmological observables in terms of the free parameters of a dual field theory and to compare them with CMB data. In this way, constraints on the observational parameters constrains the validity of the strongly coupled inflation picture by imposing limits on the parameters of the field theory. The fit with data defines a limit for the consistency and validity of the approach taken and shows that, within this limit, the model is almost unconstrained, but quite predictive, producing power spectra of density perturbations extremely near scale invariance.