Massive holographic QFTs in de Sitter

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.

Automated summary

In this study, we investigate the properties of strongly coupled mass-deformed CFT on a fixed de Sitter spacetime using holography. We elucidate the causal structure of the four-dimensional spacetime dual to the de Sitter invariant vacuum state and compute the correlation functions of the deformed-CFT stress tensor and scalar operator at each order of the mass deformation.