de Sitter entropy from conformal field theory

TL;DR

This paper proposes a duality between de Sitter entropy and conformal field theory mutual entropy, offering a new perspective on the holographic nature of de Sitter space and its degrees of freedom.

Contribution

It introduces a novel interpretation of de Sitter entropy as mutual entropy in a dual CFT and discusses the implications for the boundedness of degrees of freedom.

Findings

De Sitter entropy corresponds to mutual entropy in the dual CFT.

Unitary evolution in de Sitter space limits the excited degrees of freedom.

Clarifies the dual descriptions of de Sitter and anti-de Sitter spaces.

Abstract

We propose that the entropy of de Sitter space can be identified with the mutual entropy of a dual conformal field theory. We argue that unitary time evolution in de Sitter space restricts the total number of excited degrees of freedom to be bounded by the de Sitter entropy, and we give a CFT interpretation of this restriction. We also clarify issues arising from the fact that both de Sitter and anti de Sitter have dual descriptions in terms of conformal field theory.