Higher Spin Realization of the dS/CFT Correspondence

TL;DR

This paper proposes a holographic duality between Vasiliev's higher spin gravity in four-dimensional de Sitter space and a three-dimensional Euclidean Sp(N) vector model, extending the dS/CFT correspondence.

Contribution

It introduces a higher spin realization of the dS/CFT correspondence using analytic continuations from AdS/CFT, connecting Vasiliev gravity with a specific boundary CFT.

Findings

Duality between Vasiliev dS gravity and Sp(N) vector model established

Different boundary conditions correspond to different CFT phases

Analytic continuation from AdS/CFT supports the duality

Abstract

We conjecture that Vasiliev's theory of higher spin gravity in four-dimensional de Sitter space (dS) is holographically dual to a three-dimensional conformal field theory (CFT) living on the spacelike boundary of dS at future timelike infinity. The CFT is the Euclidean Sp(N) vector model with anticommuting scalars. The free CFT flows under a double-trace deformation to an interacting CFT in the IR. We argue that both CFTs are dual to Vasiliev dS gravity but with different future boundary conditions on the bulk scalar field. Our analysis rests heavily on analytic continuations of bulk and boundary correlators in the proposed duality relating the O(N) model with Vasiliev gravity in AdS.