Higher-spin realization of a dS static patch/cut-off CFT correspondence

TL;DR

This paper establishes a holographic duality between higher-spin theory in the de Sitter static patch and a cut-off conformal field theory on the boundary, enabling the derivation of horizon entropy and quasinormal modes.

Contribution

It introduces a novel dS static patch/holographic duality based on higher-spin theory and a cut-off CFT, extending previous dS/CFT frameworks.

Findings

Derivation of horizon entropy from boundary theory

Recovery of quasinormal mode spectrum from correlators

Extension of holography to dS/dS correspondence

Abstract

We derive a holographic relation for the dS static patch with the dual field theory defined on the observer horizon. The starting point is the duality of higher-spin theory on AdS_4 and the O(N) vector model. We build on a similar analytic continuation as used recently to obtain a realization of dS/CFT, and adapt it to the static patch. The resulting duality relates higher-spin theory on the dS_4 static patch to a cut-off CFT on the cylinder RxS^2. The construction permits a derivation of the finite thermodynamic entropy associated to the horizon of the static patch from the dual field theory. As a further brick we recover the spectrum of quasinormal frequencies from the correlation functions of the boundary theory. In the last part we incorporate the dS/dS correspondence as an independent proposal for holography on dS and show that a concrete realization can be obtained by similar reasoning.