Is There Really a de Sitter/CFT Duality

TL;DR

This paper explores the de Sitter/CFT duality, proposing a de Sitter version of Black Hole Complementarity and analyzing its implications for boundary correlators, revealing limitations in the duality's existence.

Contribution

It formulates a de Sitter Black Hole Complementarity and examines its impact on the feasibility of boundary correlators in the dS/CFT correspondence.

Findings

dS complementarity restricts boundary correlator existence

Correlators only exist in approximations with infinite entropy

Quantum field theory explains correlator existence via infinite horizon entropy

Abstract

In this paper a de Sitter Space version of Black Hole Complementarity is formulated which states that an observer in de Sitter Space describes the surrounding space as a sealed finite temperature cavity bounded by a horizon which allows no loss of information. We then discuss the implications of this for the existence of boundary correlators in the hypothesized dS/cft correspondence. We find that dS complementarity precludes the existence of the appropriate limits. We find that the limits exist only in approximations in which the entropy of the de Sitter Space is infinite. The reason that the correlators exist in quantum field theory in the de Sitter Space background is traced to the fact that horizon entropy is infinite in QFT.