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This paper studies the geodesics connecting two time-like separated boundary points in asymptotically anti-de Sitter (AdS) spacetime. We find that in spherically symmetry Schwarzschild AdS black hole, smooth space-like geodesics can connect…

High Energy Physics - Theory · Physics 2024-12-31 Jia-Hao He , Run-Qiu Yang

We investigate an analytical framework for reconstructing bulk geometries from pole-skipping data. Previously, this method enabled the recursive recovery of near-horizon metric derivatives in static, planar-symmetric black holes. Building…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Cheng Ran , Zhenkang Lu , Shao-Feng Wu

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

An iterative method for recovering the bulk information in asymptotically AdS spacetimes is presented. We consider zero energy spacelike geodesics and their relation to the entanglement entropy in three dimensions to determine the metric in…

High Energy Physics - Theory · Physics 2008-11-26 John Hammersley

We present an inverse problem which uses the renormalized area functional on minimal submanifolds to recover the expansion of asymptotically hyperbolic, conformally compact metrics which are partially even to high order. We use a rigidity…

Differential Geometry · Mathematics 2024-01-17 Jared Marx-Kuo

For spacetimes that are not asymptotic to anti-de Sitter Space (non AAdS), we adapt the Lewkowycz-Maldacena procedure to find the holographic entanglement entropy. The key observation, which to our knowledge is not very well appreciated, is…

High Energy Physics - Theory · Physics 2016-07-08 Wei Song , Qiang Wen , Jianfei Xu

We initiate a study of subregion dualities, entropy, and redundant encoding of bulk points in holographic theories deformed by $T \bar T$ and its generalizations. This includes both cut off versions of Anti de Sitter spacetime, as well as…

High Energy Physics - Theory · Physics 2026-01-27 Aitor Lewkowycz , Junyu Liu , Eva Silverstein , Gonzalo Torroba

Motivated by the theory of holographic quantum error correction in the anti-de Sitter/conformal field theory (AdS/CFT) correspondence, together with the kink transform conjecture on the bulk AdS description of boundary cocycle flow, we…

Operator Algebras · Mathematics 2024-12-03 Jason Crann , Monica Jinwoo Kang

In this paper, we extend the surface growth scheme in AdS spacetime with a boundary in the AdS/BCFT correspondence. We show that the entanglement wedge with a boundary can be constructed from the direct growth of bulk extremal surfaces…

High Energy Physics - Theory · Physics 2024-07-16 Xihao Fang , Fangzhong Chen , Jiarui Sun

In this Letter we prove a simple theorem in quantum information theory, which implies that bulk operators in the Anti-de Sitter / Conformal Field Theory (AdS/CFT) correspondence can be reconstructed as CFT operators in a spatial subregion…

High Energy Physics - Theory · Physics 2016-07-14 Xi Dong , Daniel Harlow , Aron C. Wall

This work is intended to investigate the geometry of anti-de Sitter spacetime (AdS), from the point of view of the Laplacian Comparison Theorem (LCT), and to give another description of the hyperbolical embedding standard formalism of the…

Mathematical Physics · Physics 2007-05-23 Roldao da Rocha , E. Capelas de Oliveira

We investigate a new proposal connecting the geometry at various radial scales in asymptotic AdS spacetime with entanglement structure at corresponding real-space length scales of the boundary theory. With this proposal, the bulk IR…

High Energy Physics - Theory · Physics 2024-07-29 Xin-Xiang Ju , Teng-Zhou Lai , Bo-Hao Liu , Wen-Bin Pan , Ya-Wen Sun

We formulate a renormalisation procedure for IR divergences of tree-level in-in late-time de Sitter correlators. These divergences are due to the infinite volume of spacetime and are analogous to the divergences that appear in AdS dealt…

High Energy Physics - Theory · Physics 2024-06-13 Adam Bzowski , Paul McFadden , Kostas Skenderis

The bulk reconstruction program involves expressing local bulk fields as non-local operators on the boundary. It was initiated in the context of AdS/CFT correspondence. Attempts to extend it to de Sitter have been successful for…

High Energy Physics - Theory · Physics 2026-04-02 Arundhati Goldar , Nirmalya Kajuri

The entanglement wedge reconstruction paradigm in AdS/CFT states that for a bulk qudit within the entanglement wedge of a boundary subregion $\bar{A}$, operators acting on the bulk qudit can be reconstructed as CFT operators on $\bar{A}$.…

High Energy Physics - Theory · Physics 2024-08-16 Onkar Parrikar , Harshit Rajgadia , Vivek Singh , Jonathan Sorce

The metrics of the global, Poincar\'e, and Rindler AdS$_{d+1}$ are explicitly reconstructed with given lightcone cuts. We first compute the metric up to a conformal factor with the lightcone cuts method introduced by Engelhardt and…

High Energy Physics - Theory · Physics 2023-06-28 Kakeru Sugiura , Daichi Takeda

We consider the reconstruction of a Lifshitz spacetime from three perspectives: differential entropy (or "hole-ography"), causal wedges and entanglement wedges. We find that not all time-varying bulk curves in vacuum Lifshitz can be…

High Energy Physics - Theory · Physics 2016-05-04 Simon A. Gentle , Cynthia Keeler

The mapping between bulk supergravity fields in anti-de Sitter space and operators in the dual boundary conformal field theory usually relies heavily on the available global symmetries. In the present work, we study a generalization of this…

High Energy Physics - Theory · Physics 2009-01-01 David A Lowe , Shubho Roy

The bulk reconstruction formula for a Euclidean anti-de Sitter space is directly related to the inverse of the Gel'fand-Graev-Radon transform. Correlation functions of a conformal scalar field theory in the boundary are thereby related to…

High Energy Physics - Theory · Physics 2017-11-22 Samrat Bhowmick , Koushik Ray , Siddhartha Sen

We revisit the formalism of $\text{T}\overline{\text{T}}$ deformations for quantum theories that are holographically dual to two-dimensional dilaton-gravity theories with Dirichlet boundary conditions. To better understand the microscopics…

High Energy Physics - Theory · Physics 2025-01-17 Sergio E. Aguilar-Gutierrez , Andrew Svesko , Manus R. Visser