Entanglement in De Sitter space

This paper expands on two recent proposals, [12, 13] and [14], for generalizing the Ryu-Takayanagi and Hubeny-Rangamani-Takayanagi formulas to de Sitter space. The proposals (called the monolayer and bilayer proposals) are similar; both replace the boundary of AdS by the boundaries of static-patches - in other words event horizons. After stating the rules for each, we apply them to a number of cases and show that they yield results expected on other grounds. The monolayer and bilayer proposals often give the same results, but in one particular situation they disagree. To definitively decide between them we need to understand more about the nature of the thermodynamic limit of holographic systems.

Automated summary

This paper expands on two recent proposals to generalize the Ryu-Takayanagi and Hubeny-Rangamani-Takayanagi formulas to de Sitter space, referred to as the monolayer and bilayer proposals. These proposals replace the boundary of AdS with the boundaries of static-patches or event horizons. The paper applies the rules of each proposal to various cases and demonstrates that they produce expected results. While the monolayer and bilayer proposals often yield the same results, they disagree in one specific situation. A better understanding of the thermodynamic limit of holographic systems is needed to definitively decide between the two.