Thermality in de Sitter and Holography

TL;DR

This paper explores how geodesic observers in de Sitter space perceive thermality through holographic duality, showing that boundary conformal transformations induce a thermal spectrum analogous to Unruh radiation.

Contribution

It demonstrates that boundary conformal transformations in dS/CFT lead to a thermal spectrum for geodesic observers, providing a holographic perspective on de Sitter thermality.

Findings

Boundary conformal transformations induce Bogoliubov transformations.

Geodesic observers detect a thermal spectrum.

Holographic signature of de Sitter thermality.

Abstract

Assuming the existence of a $dS/CFT$ correspondence we study the holograms of sources moving along geodesics in the bulk by calculating the one point functions they induce in the boundary theory. In analogy with a similar study of uniformly accelerated sources in $AdS$ spacetime, we argue that comoving geodesic observers correspond to a coordinate system on the boundary in which the one point function is {\it constant}. For $dS_3$ we show that the conformal transformations on the boundary which achieve this - when continued suitably to Lorentzian signature - induce nontrivial Bogoliubov transformations between modes, leading to a thermal spectrum. This may be regarded as a holographic signature of thermality detected by bulk geodesic observers.