The dS/dS Correspondence

TL;DR

This paper proposes a holographic duality linking de Sitter spacetime to coupled conformal field theories on lower-dimensional de Sitter spaces, providing insights into gravity, brane probes, and horizon behavior.

Contribution

It introduces a novel dS/dS holographic duality that captures key geometric and gravitational features of de Sitter space within a field theory framework.

Findings

Duality relates dS_d(R) to two coupled CFTs on dS_{d-1}(R).

Brane probe analysis offers a field theoretic interpretation of horizon reachability.

Probes take forever to reach horizons, explained via strongly coupled thermal field theory.

Abstract

We present a holographic duality for the de Sitter static patch which consolidates basic features of its geometry and the behavior of gravity and brane probes, valid on timescales short compared to the decay or Poincare recurrence times. Namely de Sitter spacetime $dS_d(R)$ in $d$ dimensions with curvature radius $R$ is holographically dual to two conformal field theories on $dS_{d-1}(R)$, cut off at an energy scale 1/R where they couple to each other and to $d-1$ dimensional gravity. As part of our analysis, we study brane probes in de Sitter and thermal Anti de Sitter spaces, and interpret the terms in the corresponding DBI action via strongly coupled thermal field theory. This provides a dual field theoretic interpretation of the fact that probes take forever to reach a horizon in general relativity.