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In this article, we review recent progresses on the holographic understandings of the entanglement entropy in the AdS/CFT correspondence. After reviewing the general idea of holographic entanglement entropy, we will explain its applications…

High Energy Physics - Theory · Physics 2009-12-08 Tatsuma Nishioka , Shinsei Ryu , Tadashi Takayanagi

The holographic principle, being a generic feature of quantum gravity, should allow for the consideration of dualities other than AdS/CFT. The AdS/BCFT correspondence, in which the dual field theory has local conformal symmetry and is…

High Energy Physics - Theory · Physics 2020-08-20 Sanjit Shashi

The `quantum gravity in the lab' paradigm suggests that quantum computers might shed light on quantum gravity by simulating the CFT side of the AdS/CFT correspondence and mapping the results to the AdS side. This relies on the assumption…

High Energy Physics - Theory · Physics 2024-11-08 Chris Akers , Adam Bouland , Lijie Chen , Tamara Kohler , Tony Metger , Umesh Vazirani

We revisit and extend the construction of bulk local states in flat holography, focusing on the induced representation obtained from the flat limit of the AdS highest-weight conditions. In three dimensions we clarify the scaling mismatch…

High Energy Physics - Theory · Physics 2026-04-06 Peng-Xiang Hao , Kotaro Shinmyo , Yu-ki Suzuki , Shunta Takahashi

Boundaries in gauge field theories are known to be the locus of a wealth of interesting phenomena, as illustrated for example by the holographic principle or by the AdS/CFT and bulk-boundary correspondences. In particular, it has been…

General Relativity and Quantum Cosmology · Physics 2017-09-28 Marc Geiller

We find, in the AdS/CFT, a source on the boundary which generates one wave packet drawing a null geodesic inside the bulk. Once such a wave packet dives into the bulk, it comes back to the boundary after a specific time, at which the…

High Energy Physics - Theory · Physics 2023-04-05 Shunichiro Kinoshita , Keiju Murata , Daichi Takeda

We clarify aspects of the holographic AdS/CFT correspondence that are typical of Lorentzian signature, to lay the foundation for a treatment of time-dependent gravity and conformal field theory phenomena. We provide a derivation of…

High Energy Physics - Theory · Physics 2010-02-03 Yuji Satoh , Jan Troost

Tensor networks implementing quantum error correcting codes have recently been used to construct toy models of holographic duality explicitly realizing some of the more puzzling features of the AdS/CFT correspondence. These models reproduce…

High Energy Physics - Theory · Physics 2016-03-23 Zhao Yang , Patrick Hayden , Xiao-Liang Qi

The AdS/QCD models are known to be tightly related with the QCD sum rules in the large-Nc (called also planar) limit. Rewriting the theory of infinite tower of free stable mesons expected in the large-Nc QCD as a five-dimensional theory we…

High Energy Physics - Phenomenology · Physics 2011-01-27 S. S. Afonin

In this thesis we study two different approaches to holography, and comment on the possible relation between them. The first approach is an analysis of the high-energy regime of quantum gravity in the eikonal approximation, where the theory…

High Energy Physics - Theory · Physics 2016-09-06 Sebastian de Haro

We study holographic implications of Lovelock gravities in AdS spacetimes. For a generic Lovelock gravity in arbitrary spacetime dimensions we formulate the existence condition for asymptotically AdS black holes. We consider small…

High Energy Physics - Theory · Physics 2014-11-20 Jan de Boer , Manuela Kulaxizi , Andrei Parnachev

The AdS/CFT correspondence is developed from classical solutions on AdS_5 with two boundaries. The corresponding limits and the reduction of degrees of freedom are discussed, as well as the required renormalization on the field theory side.…

High Energy Physics - Theory · Physics 2007-05-23 U. Ellwanger

We establish resolution bounds on reconstructing a bulk field from boundary data on a timelike hypersurface. If the bulk only supports propagating modes, reconstruction is complete. If the bulk also supports evanescent modes, local…

High Energy Physics - Theory · Physics 2015-06-19 Soo-Jong Rey , Vladimir Rosenhaus

We investigate the structure of two point functions for the QFT dual to an asymptotically Lorentzian AdS-wormhole. The bulk geometry is a solution of 5-dimensional second order Einstein Gauss Bonnet gravity and causally connects two…

High Energy Physics - Theory · Physics 2011-05-10 Raúl E. Arias , Marcelo Botta-Cantcheff , Guillermo A. Silva

We examine the correspondence between QFT observables and bulk solutions in the context of AdS/CFT in the limit as the cosmological constant $\Lambda \to 0$. We focus specifically on the spacetime metric and a non-backreacting scalar in the…

High Energy Physics - Theory · Physics 2014-11-26 R. N. Caldeira Costa

We introduce a method of reverse holography by which a bulk metric is shown to arise from locally computable multiscale correlations of a boundary quantum field theory (QFT). The metric is obtained from the Petz-R\'enyi mutual information…

We study the gravitational Dirichlet problem in AdS spacetimes with a view to understanding the boundary CFT interpretation. We define the problem as bulk Einstein's equations with Dirichlet boundary conditions on fixed timelike cut-off…

High Energy Physics - Theory · Physics 2015-05-28 Daniel K. Brattan , Joan Camps , R. Loganayagam , Mukund Rangamani

Holographic near-eye displays offer unprecedented capabilities for virtual and augmented reality systems, including perceptually important focus cues. Although artificial intelligence--driven algorithms for computer-generated holography…

Graphics · Computer Science 2022-05-06 Suyeon Choi , Manu Gopakumar , Yifan , Peng , Jonghyun Kim , Matthew O'Toole , Gordon Wetzstein

We compare and contrast the two approaches of holography in asymptotically flat spacetimes, viz. the co-dimension two Celestial approach based on the Mellin transformation and the co-dimension one Carrollian approach based on the modified…

High Energy Physics - Theory · Physics 2024-01-05 Arjun Bagchi , Prateksh Dhivakar , Sudipta Dutta

Holographic renormalization is a systematic procedure for regulating divergences in observables in asymptotically locally AdS spacetimes. For dual boundary field theories which are supersymmetric it is natural to ask whether this defines a…

High Energy Physics - Theory · Physics 2017-03-09 Pietro Benetti Genolini , Davide Cassani , Dario Martelli , James Sparks