Support of dS/CFT correspondence from perturbations of three dimensional spacetime

TL;DR

This paper explores the dS/CFT correspondence in three-dimensional spacetime by analyzing quasinormal modes, demonstrating their exact match with the thermal excitation spectra of boundary conformal field theories at past and future boundaries.

Contribution

It establishes a precise connection between bulk quasinormal modes and boundary CFT spectra in three-dimensional de Sitter space, supporting the dS/CFT correspondence.

Findings

Quasinormal modes match boundary CFT thermal spectra

Exact correspondence between bulk and boundary spectra

Supports dS/CFT conjecture in three dimensions

Abstract

We discuss the relation between bulk de Sitter three-dimensional spacetime and the corresponding conformal field theory at the boundary, in the framework of the exact quasinormal mode spectrum. We show that the quasinormal mode spectrum corresponds exactly to the spectrum of thermal excitations of Conformal Field Theory at the past boundary I^-, together with the spectrum of the Conformal Field Theory at the future boundary I^+.