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The Ryu-Takayanagi formula relates entanglement entropy in a field theory to the area of extremal surfaces anchored to the boundary of a dual AdS space. It is interesting to ask if there is also an information theoretic interpretation of…

高能物理 - 理论 · 物理学 2018-12-19 Vijay Balasubramanian , Charles Rabideau

We study entanglement entropy in two-dimensional conformal field theories with a gravitational anomaly. In theories with gravity duals, this anomaly is holographically represented by a gravitational Chern-Simons term in the bulk action. We…

高能物理 - 理论 · 物理学 2015-06-19 Alejandra Castro , Stephane Detournay , Nabil Iqbal , Eric Perlmutter

We explore the role of sandwiched Renyi relative entropy in AdS/CFT and in finite-dimensional models of holographic quantum error correction. In particular, in the context of operator algebra quantum error correction, we discuss a suitable…

高能物理 - 理论 · 物理学 2022-04-19 Reginald J. Caginalp

Entanglement entropy obeys a 'first law', an exact quantum generalization of the ordinary first law of thermodynamics. In any CFT with a semiclassical holographic dual, this first law has an interpretation in the dual gravitational theory…

高能物理 - 理论 · 物理学 2017-07-13 Thomas Faulkner , Monica Guica , Thomas Hartman , Robert C. Myers , Mark Van Raamsdonk

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…

高能物理 - 理论 · 物理学 2020-04-15 Shinji Hirano

We study tight-binding models in the crossover from hyperbolic to Euclidean lattices, realized through the successive insertion of Euclidean defects into hyperbolic lattices. We analyze how the holographic two-point boundary correlation…

介观与纳米尺度物理 · 物理学 2026-02-03 Mireia Tolosa-Simeón , Igor Boettcher

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…

高能物理 - 理论 · 物理学 2024-09-09 Sergio Hernández-Cuenca , Veronika E. Hubeny , Massimiliano Rota

The issue of holographic mapping between bulk and boundary in the plane-wave limit of AdS/SYM correspondence is reexamined from the viewpoint of correlation functions. We first study the limit of large angular momentum for the so-called…

高能物理 - 理论 · 物理学 2016-09-06 S. Dobashi , T. Yoneya

Recently, a holographic computation of the entanglement entropy in conformal field theories has been proposed via the AdS/CFT correspondence. One of the most important properties of the entanglement entropy is known as the strong…

高能物理 - 理论 · 物理学 2010-02-03 Tomoyoshi Hirata , Tadashi Takayanagi

These lectures review recent developments in our understanding of the emergence of local bulk physics in AdS/CFT. The primary topics are sufficient conditions for a conformal field theory to have a semiclassical dual, bulk reconstruction,…

高能物理 - 理论 · 物理学 2018-08-01 Daniel Harlow

Realizations of the holographic correspondence in String/M theory typically involve spacetimes of the form $AdS \times Y$ where $Y$ is some internal space which geometrizes an internal symmetry of the dual field theory, hereafter referred…

高能物理 - 理论 · 物理学 2024-04-09 Hardik Bohra , Sumit R. Das , Gautam Mandal , Kanhu Kishore Nanda , Mohamed Hany Radwan , Sandip P. Trivedi

I show that holographic calculations of entanglement entropy in the context of AdS bulk space modified by wormhole geometries provide the expected entanglement magnitude. This arises in the context of string theory by means of additional…

高能物理 - 理论 · 物理学 2024-10-14 Andrei T. Patrascu

We consider situations where the renormalized geometric entropy, as defined by the AdS/CFT ansatz of Ryu and Takayanagi, shows extensive behavior in the volume of the entangled region. In general, any holographic geometry that is `capped'…

高能物理 - 理论 · 物理学 2014-11-18 Jose L. F. Barbon , Carlos A. Fuertes

This thesis reviews the conjectured holographic relation between entanglement and gravity due to Mark van Raamsdonk and collaborators. It is accounted how the linearized Einstein equations both with and without matter in a d+1-dimensional…

高能物理 - 理论 · 物理学 2017-11-30 Rasmus Jaksland

We introduce a quantity, called pseudo entropy, as a generalization of entanglement entropy via post-selection. In the AdS/CFT correspondence, this quantity is dual to areas of minimal area surfaces in time-dependent Euclidean spaces which…

高能物理 - 理论 · 物理学 2021-01-27 Yoshifumi Nakata , Tadashi Takayanagi , Yusuke Taki , Kotaro Tamaoka , Zixia Wei

In this paper, we consider AdS$_3$ with Comp$\grave{\mathrm{e}}$re-Song-Strominger (CSS) boundary conditions, under which the dual field theory is warped conformal field theory (WCFT), featuring a Virasoro-Kac-Moody algebra. We provide a…

高能物理 - 理论 · 物理学 2021-09-29 Baizhi Gao , Jianfei Xu

Nonlocal interactions are known to generate volume-law entanglement entropy. However, their deeper impact on the fine structure of quantum correlations remains a key open question. In this work, we explore a bosonic nonlocal field theory,…

量子物理 · 物理学 2025-11-25 Reza Pirmoradian , M. Hossein Bek-Khoshnevis , Sadaf Ebadi , M. Reza Tanhayi

We investigate the bulk reconstruction of AdS black hole spacetime emergent from quantum entanglement within a machine learning framework. Utilizing neural ordinary differential equations alongside Monte-Carlo integration, we develop a…

高能物理 - 理论 · 物理学 2025-01-09 Byoungjoon Ahn , Hyun-Sik Jeong , Keun-Young Kim , Kwan Yun

We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part…

高能物理 - 理论 · 物理学 2016-09-21 Peter A. R. Jones , Marika Taylor

We propose bulk duals for certain coarse-grained entropies of boundary regions. The `one-point entropy' is defined in the conformal field theory by maximizing the entropy in a domain of dependence while fixing the one-point functions. We…

高能物理 - 理论 · 物理学 2014-04-02 William R. Kelly , Aron C. Wall