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In AdS/CFT, the entanglement wedge EW$(B)$ is the portion of the bulk geometry that can be reconstructed from a boundary region $B$; in other words, EW$(B)$ is the hologram of $B$. We extend this notion to arbitrary spacetimes. Given any…

High Energy Physics - Theory · Physics 2023-09-07 Raphael Bousso , Geoff Penington

We show by means of the AdS/CFT correspondence in the context of quantum gravity how inter-representational relations - loosely speaking relations among different equivalent representations of one and the same physics - can play out as a…

History and Philosophy of Physics · Physics 2020-08-25 Rasmus Jaksland , Niels S. Linnemann

We define a holographic dual to the Donaldson-Witten topological twist of $\mathcal{N}=2$ gauge theories on a Riemannian four-manifold. This is described by a class of asymptotically locally hyperbolic solutions to $\mathcal{N}=4$ gauged…

High Energy Physics - Theory · Physics 2019-07-30 Pietro Benetti Genolini , Paul Richmond , James Sparks

In anti-de Sitter space a highly accelerating observer perceives a Rindler horizon. The two Rindler wedges in AdS_{d+1} are holographically dual to an entangled conformal field theory that lives on two boundaries with geometry R x H_{d-1}.…

High Energy Physics - Theory · Physics 2019-01-16 Maulik Parikh , Prasant Samantray

Basic aspects of the AdS/CFT correspondence are studied in the framework of 3-dimensional gravity with torsion. After choosing a consistent holographic ansatz, we formulate an improved approach to the Noether--Ward identities for the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Milutin Blagojević , Branislav Cvetković , Olivera Miskovic , Rodrigo Olea

In this paper we study a simple gravity model dual to a (2+1)-dimensional system with a boundary at finite charge density and temperature. In our naive AdS/BCFT extension of a well known AdS/CFT system a non-zero charge density must be…

High Energy Physics - Theory · Physics 2015-06-12 Dmitry Melnikov , Emanuele Orazi , Pasquale Sodano

We present the complete family of solutions of 3D gravity (Lambda<0) with two asymptotically AdS exterior regions. The solutions are constructed from data at the two boundaries, which correspond to two independent and arbitrary stress…

High Energy Physics - Theory · Physics 2015-06-19 Gautam Mandal , Ritam Sinha , Nilakash Sorokhaibam

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 give an introductory review of gauge/gravity duality, and associated ideas of holography, emphasising the conceptual aspects. The opening Sections gather the ingredients, viz. anti-de Sitter spacetime, conformal field theory and string…

History and Philosophy of Physics · Physics 2017-09-20 Sebastian De Haro , Daniel R. Mayerson , Jeremy N. Butterfield

These lecture notes aim to provide a pedagogical introduction to the AdS/CFT correspondence and its extensions to spacetimes with positive (de Sitter spacetime) and zero (flat spacetime) cosmological constant. We begin by explaining the…

High Energy Physics - Theory · Physics 2026-02-04 Gopal Yadav

An explicit AdS/CFT correspondence is shown for the Lie group $SO(4,2)$. The Lie symmetry structures allow for the construction of two physical theories through the tools of Cartan geometry. One is a gravitational theory that has anti-de…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Jeffrey S Hazboun

A holographic duality is proposed relating quantum gravity on dS_D (D-dimensional de Sitter space) to conformal field theory on a single S^{D-1} ((D-1)-sphere), in which bulk de Sitter correlators with points on the boundary are related to…

High Energy Physics - Theory · Physics 2009-11-07 Andrew Strominger

Within the AdS/CFT correspondence, computational complexity for reduced density matrices of holographic conformal field theories has been conjectured to be related to certain geometric observables in the dual gravity theory. We study this…

High Energy Physics - Theory · Physics 2024-12-13 Marius Gerbershagen , Juan Hernandez , Mikhail Khramtsov , Maria Knysh

We present a spherically symmetric aAdS gravity solution with Schwinger-Keldysh boundary condition dual to a CFT at finite temperature defined on a complex time contour. The geometry is built by gluing the exterior of a two-sided AdS Black…

High Energy Physics - Theory · Physics 2018-12-05 Marcelo Botta-Cantcheff , Pedro J. Martínez , Guillermo A. Silva

'Holographic' relations between theories have become an important theme in quantum gravity research. These relations entail that a theory without gravity is equivalent to a gravitational theory with an extra spatial dimension. The idea of…

High Energy Physics - Theory · Physics 2015-09-11 Dennis Dieks , Jeroen van Dongen , Sebastian de Haro

The Swampland Program aims to delineate the space of consistent low-energy effective field theories (EFTs) that admit a UV completion in quantum gravity from those that do not. In parallel, holography, and particularly the AdS/CFT…

High Energy Physics - Theory · Physics 2026-02-03 Sudhaker Upadhyay , Alexander Reshetnyak , Pavel Moshin , Ricardo Castro

We review recent developments in the study of the AdS/CFT correspondence in lower dimensions. We start summarising the classification of AdS$_3\times$S$^2$ solutions in massive Type IIA supergravity with (0,4) supersymmetries, and the…

High Energy Physics - Theory · Physics 2021-06-30 Yolanda Lozano , Anayeli Ramirez

By generalizing different recent works to the context of higher curvature gravity, we provide a unifying framework for three related results: (i) If an asymptotically AdS spacetime computes the entanglement entropies of ball-shaped regions…

High Energy Physics - Theory · Physics 2018-05-22 Felix M. Haehl , Eliot Hijano , Onkar Parrikar , Charles Rabideau

The Anti-de Sitter/Conformal Field Theory correspondence (AdS/CFT) is one of the most significant findings in theoretical physics and forms the basis of this thesis. Although highly powerful, the main limitation of AdS/CFT is that AdS does…

High Energy Physics - Theory · Physics 2025-12-30 Mattia Arundine

We rederive AdS/CFT predictions for infrared two-point functions by an entirely four dimensional approach, without reference to holography. This approach, originally due to Migdal in the context of QCD, utilizes an extrapolation from the…

High Energy Physics - Theory · Physics 2008-11-26 Joshua Erlich , Graham D. Kribs , Ian Low