Higher spin realization of the DS/CFT correspondence

Abstract

We conjecture that Vasiliev's theory of higher spin gravity in four-dimensional de Sitter space (dS₄) is holographically dual to a three-dimensional conformal field theory (CFT₃) living on the spacelike boundary of dS₄at future timelike infinity. The CFT₃ is the Euclidean Sp(N) vector model with anticommuting scalars. The free CFT₃ flows under a double-trace deformation to an interacting CFT3 in the IR. We argue that both CFTs are dual to Vasiliev dS₄ 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 AdS₄.