de Sitter gravity/Euclidean conformal gravity correspondence

TL;DR

This paper proposes a holographic duality between de Sitter gravity and Euclidean conformal gravity, incorporating a sum over topologies and conformal structures in the holographic measure.

Contribution

It introduces a novel correspondence linking de Sitter gravitational theories with Euclidean conformal gravity, expanding holographic duality frameworks.

Findings

Holographic dual of de Sitter gravity is Euclidean conformal gravity.

The holographic measure includes a sum over topologies.

The measure also incorporates conformal structures.

Abstract

The holographic dual of a gravitational theory around the de Sitter background is argued to be a Euclidean conformal gravity theory in one fewer dimensions. The measure for the holographic theory naturally includes a sum over topologies as well as conformal structures.