Exploring de Sitter Space and Holography

dc.creatorBalasubramanian, Vijay
dc.creatorde Boer, Jan
dc.creatorMinic, Djordje
dc.date2002-07-29
dc.date2002-09-11
dc.date.accessioned2026-07-07T12:52:29Z
dc.date.available2026-07-07T12:52:29Z
dc.descriptionWe explore aspects of the physics of de Sitter (dS) space that are relevant to holography with a positive cosmological constant. First we display a nonlocal map that commutes with the de Sitter isometries, transforms the bulk-boundary propagator and solutions of free wave equations in de Sitter onto the same quantities in Euclidean anti-de Sitter (EAdS), and takes the two boundaries of dS to the single EAdS boundary via an antipodal identification. Second we compute the action of scalar fields on dS as a functional of boundary data. Third, we display a family of solutions to 3d gravity with a positive cosmological constant in which the equal time sections are arbitrary genus Riemann surfaces, and compute the action of these spaces as a functional of boundary data from the Einstein gravity and Chern-Simons gravity points of view. These studies suggest that if de Sitter space is dual to a Euclidean conformal field theory (CFT), this theory should involve two disjoint, but possibly entangled factors. We argue that these CFTs would be of a novel form, with unusual hermiticity conditions relating left movers and right movers. After exploring these conditions in a toy model, we combine our observations to propose that a holographic dual description of de Sitter space would involve a pure entangled state in a product of two of our unconventional CFTs associated with the de Sitter boundaries. This state can be constructed to preserve the de Sitter symmetries and and its decomposition in a basis appropriate to antipodal inertial observers would lead to the thermal properties of static patch.
dc.descriptionLaTeX, v2: references added
dc.identifierhttps://arxiv.org/abs/hep-th/0207245
dc.identifierhttp://arxiv.org/abs/hep-th/0207245
dc.identifierClass.Quant.Grav.19:5655-5700,2002; Ann.Phys.303:59-116,2003
dc.identifierdoi:10.1016/S0003-4916(02)00020-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223312
dc.subjectHigh Energy Physics - Theory
dc.titleExploring de Sitter Space and Holography
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