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$AdS$ plane wave backgrounds are dual to CFT excited states with energy momentum density $T_{++}=Q$. Building on previous work on entanglement entropy in these and nonconformal brane plane wave backgrounds, we first describe a…

High Energy Physics - Theory · Physics 2014-07-23 Debangshu Mukherjee , K. Narayan

In the AdS/CFT context, the entanglement of purification (EoP, denoted as $E_{P}$) of CFT is conjectured to be dual to the entanglement wedge cross section (EWCS) in bulk. However, another quantity called reflected entropy $S_{R}$ is also…

High Energy Physics - Theory · Physics 2025-06-17 Liangyu Chen

The purpose of this report is to provide a framework for defining phase transition processes in two dimensional holographic superconductors, and to illustrate how they are useful to be described by holographic entanglement entropy. We study…

High Energy Physics - Theory · Physics 2018-04-11 Davood Momeni , Kairat Myrzakulov , Ratbay Myrzakulov

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perform. With holographic entanglement entropy, calculations of…

High Energy Physics - Theory · Physics 2018-06-29 Alexander Jahn , Tadashi Takayanagi

We investigate the Holographic Entanglement Entropy proposal in the context of the (3+1)-dimensional topological black hole. In contrast to the well-studied (2+1)-dimensional case, the maximal extension for this black hole includes only a…

High Energy Physics - Theory · Physics 2018-09-18 Zachary Polonsky , Alex Flournoy

We investigate the robustness of the Araki-Lieb inequality in a two-dimensional (2D) conformal field theory (CFT) on torus. The inequality requires that $\Delta S=S(L)-|S(L-\ell)-S(\ell)|$ is nonnegative, where $S(L)$ is the thermal entropy…

High Energy Physics - Theory · Physics 2017-10-09 Bin Chen , Zhibin Li , Jia-ju Zhang

In this paper, we will compute the holographic complexity (dual to a volume in AdS), holographic fidelity susceptibility and the holographic entanglement entropy (dual to an area in AdS) in a two-dimensional version of $AdS$ which is dual…

High Energy Physics - Theory · Physics 2018-06-07 Kazuharu Bamba , Davood Momeni , Mudhahir Al Ajmi

We develop, in the AdS/CFT correspondence, a method to compute correlation functions when the CFT is governed by the Lindblad equation for open quantum systems, via the AdS theory. Using a simple example in AdS$_3$/CFT$_2$, we demonstrate…

High Energy Physics - Theory · Physics 2025-08-01 Takanori Ishii , Daichi Takeda

In 2006, Ryu and Takayanagi (RT) pointed out that (with a suitable cutoff) the entanglement entropy between two complementary regions of an equal-time surface of a d+1-dimensional conformal field theory on the conformal boundary of…

High Energy Physics - Theory · Physics 2016-05-26 Bernard S. Kay

We study the holographic representation of the entanglement entropy, recently proposed by Ryu and Takayanagi, in a braneworld context. The holographic entanglement entropy of a de Sitter brane embedded in an anti-de Sitter (AdS) spacetime…

High Energy Physics - Theory · Physics 2009-11-11 Yukinori Iwashita , Tsutomu Kobayashi , Tetsuya Shiromizu , Hirotaka Yoshino

We present a new method of deriving the geometry of entanglement wedges in holography directly from conformal field theories (CFTs). We analyze an information metric called the Bures metric of reduced density matrices for locally excited…

High Energy Physics - Theory · Physics 2019-12-04 Yuki Suzuki , Tadashi Takayanagi , Koji Umemoto

In this paper, we propose a method of fixing the leading behaviors of three dimensional geometries from the dual CFT$_2$ entanglement entropies. We employ only the holographic principle and do not use any assumption about the AdS/CFT…

High Energy Physics - Theory · Physics 2024-12-25 Peng Wang , Houwen Wu , Haitang Yang

We consider the holographic entanglement entropy of $(d+2)$-dimensional semi-local quantum liquids, for which the dual gravity background in the deep interior is $AdS_{2}\times\mathbb{R}^{d}$ multiplied by a warp factor which depends on the…

High Energy Physics - Theory · Physics 2015-06-17 Johanna Erdmenger , Da-Wei Pang , Hansjörg Zeller

This work explores the black hole information loss paradox, a fundamental challenge in theoretical physics. It proposes insights using Holographic Entanglement Entropy (HEE) and the AdS/BCFT correspondence within Horndeski gravity. The work…

High Energy Physics - Theory · Physics 2025-09-01 Fabiano F. Santos

We study entanglement entropy after a double local quench in two-dimensional conformal field theories (CFTs), with any central charge $c>1$. In the holographic CFT, such a state with double-excitation is dual to an AdS space with two…

High Energy Physics - Theory · Physics 2020-02-19 Yuya Kusuki , Masamichi Miyaji

We study the entanglement entropy (EE) and the R\'{e}nyi entropy (RE) of multiple intervals in two-dimensional $T\overline{T}$-deformed conformal field theory (CFT) at finite temperature by field theoretic and holographic methods. First, by…

High Energy Physics - Theory · Physics 2020-02-03 Hyun-Sik Jeong , Keun-Young Kim , Mitsuhiro Nishida

We study shape-deformations of the entanglement entropy and the modular Hamiltonian for an arbitrary subregion and state (with a smooth dual geometry) in a holographic conformal field theory. More precisely, we study a double-deformation…

High Energy Physics - Theory · Physics 2018-07-04 Aitor Lewkowycz , Onkar Parrikar

We characterize the quantum states dual to entanglement wedges in arbitrary spacetimes, in settings where the matter entropy can be neglected compared to the geometric entropy. In AdS/CFT, such states obey special entropy inequalities known…

High Energy Physics - Theory · Physics 2024-04-19 Raphael Bousso , Sami Kaya

We extend all known area inequalities obeyed by Ryu-Takayanagi surfaces of AdS boundary regions -- the holographic entropy cone -- to static generalized entanglement wedges of bulk regions in arbitrary spacetimes. The generalized…

High Energy Physics - Theory · Physics 2025-02-07 Raphael Bousso , Sami Kaya

Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the…

High Energy Physics - Theory · Physics 2012-11-07 Ling-Yan Hung , Robert C. Myers , Michael Smolkin