Support of dS/CFT correspondence from space-time perturbations

TL;DR

This paper provides evidence for the dS/CFT correspondence by analyzing de Sitter space perturbations and matching their spectra with the poles in the boundary CFT propagator, revealing a striking coincidence.

Contribution

It demonstrates a strong link between bulk perturbation spectra and boundary CFT poles, supporting the dS/CFT correspondence through spectral analysis.

Findings

Spectrum of de Sitter perturbations matches CFT pole locations.

Thermal excitation spectra at past and future boundaries are contained in bulk quasi-normal modes.

Supports the conjecture of a holographic duality between de Sitter space and CFT.

Abstract

We analyse the spectrum of perturbations of the de Sitter space on the one hand, while on the other hand we compute the location of the poles in the Conformal Field Theory (CFT) propagator at the border. The coincidence is striking, supporting a dS/CFT correspondence. We show that the spectrum of thermal excitations of the CFT at the past boundary $I^{-}$ together with that spectrum at the future boundary $I^{+}$ is contained in the quasi-normal mode spectrum of the de Sitter space in the bulk.