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We propose to embed de Sitter space into five dimensional anti-de Sitter space to compute some physical quantities of interest, using the AdS/CFT correspondence. The static de Sitter can be considered as the conformal structure of the…

High Energy Physics - Theory · Physics 2011-07-19 Miao Li , Yi Pang

We study the entanglement entropy of a free massive scalar field at its ground state in (3+1)-dimensional AdS space in global coordinates. We consider spherical entangling surfaces centered at the origin of AdS. We determine the structure…

High Energy Physics - Theory · Physics 2025-05-23 Konstantinos Boutivas , Dimitrios Katsinis , Ioannis Papadimitriou , Georgios Pastras , Nikolaos Tetradis

We discuss two methods that, through a combination of cyclically gluing copies of a given $n$-party boundary state in AdS/CFT and a canonical purification, creates a bulk geometry that contains a boundary homologous minimal surface with…

High Energy Physics - Theory · Physics 2019-10-21 Ning Bao , Newton Cheng

The duality relating near-horizon microstates of black holes obtained as orbifolds of a subset of AdS3 to the states of a conformal field theory is analyzed in detail. The SL(2,R) invariant vacuum on AdS3 corresponds to the NS-NS vacuum of…

High Energy Physics - Theory · Physics 2009-10-31 Juan Maldacena , Andrew Strominger

We develop further the investigations in arXiv:2210.12963 [hep-th] on de Sitter space, extremal surfaces and time entanglement. We discuss the no-boundary de Sitter extremal surface areas as certain analytic continuations from $AdS$ while…

High Energy Physics - Theory · Physics 2025-03-03 K. Narayan

In this paper, we continue the study of single-trace $T\bar{T}$-holography where the boundary field theory can be realized as a CFT$_2$ deformed by a single-trace irrelevant operator of dimension $(2,2)$ and dual spacetime geometry is…

High Energy Physics - Theory · Physics 2025-08-14 Soumangsu Chakraborty , Madhur Mehta , Gela Patashuri

We consider Renyi entropies of conformal field theories in flat space, with the entangling surface being a sphere. The AdS/CFT correspondence relates this Renyi entropy to that of a black hole with hyperbolic horizon; as the Renyi parameter…

High Energy Physics - Theory · Physics 2015-06-16 Alexandre Belin , Alexander Maloney , Shunji Matsuura

The entanglement entropy has been historically studied by many authors in order to obtain quantum mechanical interpretations of the gravitational entropy. The discovery of AdS/CFT correspondence leads to the idea of holographic entanglement…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Tadashi Takayanagi

We consider the refinement of the holographic entanglement entropy for the holographic dual theories to the AdS solitons and AdS black holes, including the corrected ones by the Gauss-Bonnet term. The refinement is obtained by extracting…

High Energy Physics - Theory · Physics 2015-06-04 Masafumi Ishihara , Feng-Li Lin , Bo Ning

The holographic entanglement entropies (HEE) associated with four dimensional Schwarzschild and Reisner-Nordstr\"om black holes in asymptotically Minkowski spacetimes are investigated. Unlike the cases of asymptotically AdS spacetimes for…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Yuan Sun , Liu Zhao

We examine how the (2+1)-dimensional AdS space is covered by the Fefferman-Graham system of coordinates for Minkowski, Rindler and static de Sitter boundary metrics. We find that, in the last two cases, the coordinates do not cover the full…

High Energy Physics - Theory · Physics 2013-05-30 N. Tetradis

We construct solutions in the form of $AdS_2\times\Sigma$, where $\Sigma$ denotes a spindle geometry, within a particular 4d $\mathcal{N}=2$ gauged supergravity with vector multiplets and a charged hypermultiplet stemming from a consistent…

High Energy Physics - Theory · Physics 2024-08-08 Kiril Hristov , Minwoo Suh

We generalize Penrose's notion of conformal infinity of spacetime, to situations with anisotropic scaling. This is relevant not only for Lifshitz-type anisotropic gravity models, but also in standard general relativity and string theory,…

High Energy Physics - Theory · Physics 2012-01-23 Petr Horava , Charles M. Melby-Thompson

The Anti-de Sitter-Reissner-Nordstrom (AdS-RN) black hole in the canonical ensemble undergoes a phase transition similar to the liquid-gas phase transition, i.e. the isocharges on the entropy-temperature plane develop an unstable branch…

High Energy Physics - Theory · Physics 2016-01-27 Phuc H. Nguyen

We reinterpret special relativity, or more precisely its de Sitter deformation, in terms of 3d conformal geometry, as opposed to (3+1)d spacetime geometry. An inertial observer, usually described by a geodesic in spacetime, becomes instead…

High Energy Physics - Theory · Physics 2016-04-20 Derek K. Wise

We argue that corner contributions in gravity action (Hayward term) capture the essence of gravity edge modes, which lead to gravitational area entropies, such as the black hole entropy and holographic entanglement entropy. We explain how…

High Energy Physics - Theory · Physics 2020-03-18 Tadashi Takayanagi , Kotaro Tamaoka

The recent study in AdS$_3$/CFT$_2$ correspondence shows that the tree level contribution and 1-loop correction of holographic R\'enyi entanglement entropy (HRE) exactly match the direct CFT computation in the large central charge limit.…

High Energy Physics - Theory · Physics 2015-04-29 Bin Chen , Feng-yan Song , Jia-ju Zhang

We study holographic entanglement entropy in 5-dimensional charged black brane geometry obtained from Einstein-SU(2)Yang-Mills theory defined in asymptotically AdS space. This gravity system undergoes second order phase transition near its…

High Energy Physics - Theory · Physics 2023-02-24 Chanyong Park , Gitae Kim , Ji-seong Chae , Jae-Hyuk Oh

A holographic correspondence between data on horizon and space-time physics is investigated. We find similarities with the AdS/CFT correspondence, based on the observation that the optical metric near the horizon describes a Euclidean…

High Energy Physics - Theory · Physics 2014-11-18 Ivo Sachs , Sergey N. Solodukhin

Tensor networks, $T\bar{T}$, and broader notions of a holographic principle all motivate the idea that some notion of gravitational holography should persist in the presence of a radial cutoff. But in the absence of time-reflection…

High Energy Physics - Theory · Physics 2021-02-03 Brianna Grado-White , Donald Marolf , Sean J. Weinberg