Abstract
We develop further the codim-2 future-past extremal surfaces stretching between the future and past boundaries in de Sitter space, discussed in previous work. We first make more elaborate the construction of such surfaces anchored at more general subregions of the future boundary, and stretching to equivalent subregions at the past boundary. These top-bottom symmetric future-past extremal surfaces cannot penetrate beyond a certain limiting surface in the Northern/Southern diamond regions: the boundary subregions become the whole boundary for this limiting surface. For multiple disjoint subregions, this construction leads to mutual information vanishing and strong subadditivity being saturated. We then discuss an effective codim-1 envelope surface arising from these codim-2 surfaces. This leads to analogs of the entanglement wedge and subregion duality for these future-past extremal surfaces in de Sitter space.
Highlights
De Sitter space is of great interest for various reasons: theoretically there is the striking fact that it has thermodynamic properties, with temperature and entropy [1]
It is fascinating to ask how de Sitter entropy can be understood via gauge/gravity duality [3,4,5,6] for de Sitter space, or dS=CFT [7,8,9], which associates a hypothetical nonunitary dual Euclidean conformal field theory (CFT) at the future boundary Iþ, which might be regarded as the natural boundary of de Sitter space
While dual operator correlation functions are obtained by a differentiate prescription applied to ZCFT, bulk expectation values are obtained by weighting with the bulk probability jΨdSj2
Summary
De Sitter space is of great interest for various reasons: theoretically there is the striking fact that it has thermodynamic properties, with temperature and entropy [1] (see the review [2]). In [28], certain codim-2 timeline extremal surfaces were found stretching from the future boundary to the past: this is perhaps natural given that surfaces do not return to Iþ, so they could instead end at I− This dovetails with the fact that bulk expectation values require two copies of the wave function and so two CFT copies and two boundaries. These surfaces begin at Iþ, the future boundary of the future universe F, have a turning point in the northern/southern diamond regions N=S and end at the past boundary I− of the past universe P.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
