Inflationary Perturbations from Deformed CFT

TL;DR

This paper introduces a novel method inspired by dS/CFT correspondence to compute inflationary perturbation spectra using deformed CFT correlators governed by the Callan-Symanzik equation, linking holography and cosmology.

Contribution

It proposes a new holographic approach to derive inflationary spectra from deformed conformal field theories, connecting dS/CFT ideas with cosmological perturbation calculations.

Findings

Standard inflationary spectrum obtained from deformed CFT correlators

Highlights advantages of holographic approach in cosmology

Discusses the role of holography in the universality of the spectrum

Abstract

We present a new method to calculate the spectrum of (slow-roll) inflationary perturbations, inspired by the conjectured dS/CFT correspondence. We show how the standard result for the spectrum of inflationary perturbations can be obtained from deformed CFT correlators, whose behavior is determined by the Callan-Symanzik equation. We discuss the possible advantages of this approach and end with some comments on the role of holography in dS/CFT and its relation to the universal nature of the spectrum of inflationary perturbations.