Comments on Entanglement Entropy in the dS/CFT Correspondence

TL;DR

This paper explores the concept of holographic entanglement entropy within the dS/CFT framework, proposing an analytic continuation approach and analyzing a toy model to understand its properties.

Contribution

It introduces a method to compute holographic entanglement entropy in de Sitter space via analytic continuation from Euclidean AdS and examines a dual free $Sp(N)$ model as a toy example.

Findings

Confirmed similar behavior between the toy model and holographic results.

Proposed a new approach to define entanglement entropy in de Sitter spacetime.

Analyzed the duality using a free $Sp(N)$ model as a proxy.

Abstract

We consider the entanglement entropy in the dS/CFT correspondence.In Einstein gravity on de Sitter spacetime we propose the holographic entanglement entropy as the analytic continuation of the extremal surface in Euclidean anti-de Sitter spacetime.Even though dual conformal field theories for Einstein gravity on de Sitter spacetime have not been known yet,we analyzed the free $Sp(N)$ model dual to Vasiliev's higher spin gauge theory as a toy model.In this model we confirmed the behaviour similar to our holographic result from Einstein gravity.