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We elaborate on the role of extremal surfaces probing the internal space in AdS/CFT. Extremal surfaces in AdS quantify the "geometric" entanglement between different regions in physical space for the dual CFT. This, however, is just one of…

High Energy Physics - Theory · Physics 2015-04-16 Andreas Karch , Christoph F. Uhlemann

It has been proposed that the areas of marginally trapped or anti-trapped surfaces (also known as leaves of holographic screens) may encode some notion of entropy. To connect this to AdS/CFT, we study the case of marginally trapped surfaces…

High Energy Physics - Theory · Physics 2018-04-04 Brianna Grado-White , Donald Marolf

We study how bulk propagation in global AdS$_3$ is encoded in boundary energy densities of the dual CFT$_2$ on the cylinder. A key feature of the global geometry, which is absent in the Poincar\'e-patch description, is that a null…

High Energy Physics - Theory · Physics 2026-05-29 Shiki Yoshikawa

We study holographic entanglement entropy in four-dimensional quantum gravity with negative cosmological constant. By using the replica trick and evaluating path integrals in the minisuperspace approximation, in conjunction with the…

High Energy Physics - Theory · Physics 2020-04-15 Shinji Hirano

We introduce a new algebraic framework for understanding nonperturbative gravitational aspects of bulk reconstruction with a finite or infinite-dimensional boundary Hilbert space. We use relative entropy equivalence between bulk and…

High Energy Physics - Theory · Physics 2023-08-29 Elliott Gesteau , Monica Jinwoo Kang

We study the holographic entanglement entropy of deformed entangling regions in three-dimensional CFTs dual to Einstein-AdS gravity, using a renormalization scheme based on the addition of extrinsic counterterms. In this prescription, when…

High Energy Physics - Theory · Physics 2020-10-28 Giorgos Anastasiou , Javier Moreno , Rodrigo Olea , David Rivera-Betancour

We use the AdS/CFT correspondence to study models of entanglement and correlations between two $d=4$ CFTs in thermofield double states at finite chemical potential. Our bulk spacetimes are planar Reissner-Nordstr\"om AdS black holes. We…

High Energy Physics - Theory · Physics 2014-04-14 Tomas Andrade , Sebastian Fischetti , Donald Marolf , Simon F. Ross , Moshe Rozali

The continuous Multi Scale Entanglement Renormalization Anstaz (cMERA) consists of a variational method which carries out a real space renormalization scheme on the wavefunctionals of quantum field theories. In this work we calculate the…

High Energy Physics - Theory · Physics 2021-09-21 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

We generalize the Pastawski-Yoshida-Harlow-Preskill (HaPPY) holographic quantum error-correcting code to provide a toy model for bulk gauge fields or linearized gravitons. The key new elements are the introduction of degrees of freedom on…

High Energy Physics - Theory · Physics 2017-05-24 William Donnelly , Ben Michel , Donald Marolf , Jason Wien

In AdS/CFT we consider a class of bulk geometric quantities inside the entanglement wedge called reflected minimal surfaces. The areas of these surfaces are dual to the entanglement entropy associated to a canonical purification (the GNS…

High Energy Physics - Theory · Physics 2019-05-03 Souvik Dutta , Thomas Faulkner

We construct entangled microstates of a pair of holographic CFTs whose dual semiclassical description includes big bang-big crunch AdS cosmologies in spaces without boundaries. The cosmology is supported by inhomogeneous heavy matter and it…

High Energy Physics - Theory · Physics 2025-07-15 Stefano Antonini , Martin Sasieta , Brian Swingle

Quantum corrections to holographic entanglement entropy require knowledge of the bulk quantum state. In this paper, we derive a novel dual prescription for the generalized entropy that allows us to interpret the leading quantum corrections…

High Energy Physics - Theory · Physics 2022-02-25 Cesar A. Agón , Juan F. Pedraza

The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of the boundary spacetime of a holographic CFT in any state describing a classical bulk geometry. We argue that the…

High Energy Physics - Theory · Physics 2024-09-09 Sergio Hernández-Cuenca , Veronika E. Hubeny , Massimiliano Rota

We show that for a CFT$_D$ on a flat open solid torus, the two point function in the Weyl frame is exactly paired with a finite geodesic lying entirely in the AdS$_{D+1}$ bulk interior. This relation is exact and requires neither large $N$,…

High Energy Physics - Theory · Physics 2026-05-21 Xin Jiang , Peng Wang , Haitang Yang

We consider symmetry-resolved entanglement entropy in AdS${}_3$/CFT${}_2$ coupled to $U(1)$ Chern-Simons theory. We identify the holographic dual of the charged moments in the two-dimensional conformal field theory as a charged Wilson line…

High Energy Physics - Theory · Physics 2021-07-28 Suting Zhao , Christian Northe , René Meyer

We study boundary structure of asymptotically AdS gravity and (gauge) fields defined on this background by employing the gauge PDE approach. The essential step of the construction is the incorporation of the boundary-defining function among…

Mathematical Physics · Physics 2025-12-09 Maxim Grigoriev , Mikhail Markov

The Ryu-Takayanagi and Hubeny-Rangamani-Takayanagi formulae suggest that bulk geometry emerges from the entanglement structure of the boundary theory. Using these formulae, we build on a result of Alexakis, Balehowsky, and Nachman to show…

High Energy Physics - Theory · Physics 2019-09-04 Ning Bao , ChunJun Cao , Sebastian Fischetti , Cynthia Keeler

We study the applicability of the covariant holographic entanglement entropy proposal to asymptotically warped AdS$_3$ spacetimes with an SL(2,R) x U(1) isometry. We begin by applying the proposal to locally AdS$_3$ backgrounds which are…

High Energy Physics - Theory · Physics 2015-06-17 Dionysios Anninos , Joshua Samani , Edgar Shaghoulian

In this paper we review the AdS/BCFT proposal of T. Takayanagi for holographic description of systems with boundaries, in particular, boundary conformal field theories (BCFTs). Motivated by better understanding of the proposed duality we…

High Energy Physics - Theory · Physics 2019-12-11 Arthur G. Cavalcanti , Dmitry Melnikov , Madson R. O. Silva

We use holographic duality to study the entanglement entropy (EE) of Conformal Field Theories (CFTs) in various spacetime dimensions $d$, in the presence of various deformations: a relevant Lorentz scalar operator with constant source, a…

High Energy Physics - Theory · Physics 2017-11-22 Nikola I. Gushterov , Andy O'Bannon , Ronnie Rodgers