The asymptotic symmetry of de Sitter spacetime

TL;DR

This paper investigates the boundary conformal correlation functions derived from an interacting quantum field theory in de Sitter space, highlighting challenges in establishing a clear holographic interpretation due to issues like reflection positivity.

Contribution

It provides a method to construct Euclidean conformal correlators from bulk quantum fields in de Sitter space and analyzes their physical interpretability.

Findings

Constructed boundary conformal correlators from bulk quantum fields.

Identified issues with reflection positivity affecting holographic interpretation.

Highlighted the lack of an obvious physical holographic dual.

Abstract

We show how to construct a set of Euclidean conformal correlation functions on the boundary of a de Sitter space from an interacting bulk quantum field theory with a certain asymptotic behaviour. We discuss the status of the boundary theory w.r.t. the reflection positivity and conclude that no obvious physical holographic interpretation is available.