Higher Spin Realization of the dS/CFT Correspondence

TL;DR

The paper offers a concrete dS/CFT realization via Vasiliev's higher-spin gravity in de Sitter space, proposing that the bulk theory is dual to a 3D Euclidean Sp(N) CFT of anticommuting scalars on future null infinity. It demonstrates that AdS/CFT GKPY dualities extend to de Sitter through analytic continuation, mapping $N$ to $-N$ and flipping the bulk scalar normalization, so Neumann (Dirichlet) dS boundary conditions correspond to free (critical) Sp(N) CFT3s. Bulk and boundary correlators are matched by continuing from AdS results: $z \to -i\eta$, $\Lambda \to -\Lambda$, and $C_2 \to -C_2$, with the continuation extended to the full higher-spin tower. This provides a nonperturbative holographic description of de Sitter quantum gravity in a controlled higher-spin setting, while acknowledging conceptual questions about observables and unitarity. Overall, it strengthens the link between higher-spin holography and cosmological spacetimes by embedding dS/CFT in a GKPY-inspired framework.

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.