Massive holographic QFTs in de Sitter

TL;DR

This paper explores the holographic dual of a mass-deformed conformal field theory on de Sitter space, analyzing its causal structure and correlation functions in a three-dimensional setting.

Contribution

It provides a detailed holographic analysis of mass-deformed CFTs on de Sitter, including causal structure and explicit computation of correlation functions.

Findings

Conformal boundaries appear as spacelike defects in the bulk.

Correlation functions have a spectral representation with simple poles.

Bulk curvature singularities correspond to boundary defects.

Abstract

We study strongly coupled mass-deformed-CFT on a fixed de Sitter spacetime in three dimensions via holography. We elucidate the global causal structure of the four-dimensional spacetime dual to the de Sitter invariant vacuum state. The conformal boundaries of de Sitter appear as spacelike defects sourced by the mass deformation, which extend into the bulk as curvature singularities in AdS. We compute all one- and two-point functions of the deformed-CFT stress tensor and a scalar operator order-by-order in the mass deformation for a simple holographic model. These correlation functions admit a spectral representation as a sum of simple poles corresponding to normalisable modes in the bulk.