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This is an extended version of our short report hep-th/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant…

高能物理 - 理论 · 物理学 2010-02-03 Shinsei Ryu , Tadashi Takayanagi

It was proposed by Ryu and Takayanagi that the entanglement entropy in conformal field theory (CFT) is related through the AdS/CFT correspondence to the area of a minimal surface in the bulk. We apply this holographic geometrical method of…

高能物理 - 理论 · 物理学 2014-06-11 Pavel Krtous , Andrei Zelnikov

The entanglement entropy has been historically studied by many authors in order to obtain quantum mechanical interpretations of the gravitational entropy. The discovery of AdS/CFT correspondence leads to the idea of holographic entanglement…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Tadashi Takayanagi

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the…

高能物理 - 理论 · 物理学 2014-11-18 Shinsei Ryu , Tadashi Takayanagi

We compute entanglement entropy for free massive scalar fields in anti-de Sitter (AdS) space. The entangling surface is a minimal surface whose boundary is a sphere at the boundary of AdS. The entropy can be evaluated from the thermal free…

高能物理 - 理论 · 物理学 2017-11-22 Sotaro Sugishita

We use the holographic methods to calculate the entanglement entropy for field theories modified by $T\bar{T}$ insertion. Based on the available holographic proposals, this calculation reduces to the holographic computations in AdS with…

高能物理 - 理论 · 物理学 2022-01-26 Kuroush Allameh , Amin Faraji Astaneh , Alireza Hassanzadeh

The Ryu-Takayanagi conjecture predicts a holographic dual of the entanglement entropy of a CFT. It proposes that the entanglement entropy is given by the area of the minimal surface in the dual spacetime. In the semi-classical limit, this…

高能物理 - 理论 · 物理学 2022-07-19 Jun Tsujimura , Yasusada Nambu

We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a…

高能物理 - 理论 · 物理学 2011-05-12 Horacio Casini , Marina Huerta , Robert C. Myers

In this note a new method for computing the entanglement entropy of a CFT holographically is explored. It consists of finding a bulk background with a boundary metric that has the conical singularities needed to compute the entanglement…

高能物理 - 理论 · 物理学 2008-12-25 Georgios Michalogiorgakis

According to Ryu and Takayanagi, the entanglement entropy in conformal field theory (CFT) is related through the AdS/CFT correspondence to the area of a minimal surface in the bulk. We study this holographic geometrical method of…

高能物理 - 理论 · 物理学 2018-07-18 Pavel Krtous , Andrei Zelnikov

In this article, we review recent progresses on the holographic understandings of the entanglement entropy in the AdS/CFT correspondence. After reviewing the general idea of holographic entanglement entropy, we will explain its applications…

高能物理 - 理论 · 物理学 2009-12-08 Tatsuma Nishioka , Shinsei Ryu , Tadashi Takayanagi

A recent proposal by Ryu and Takayanagi for a holographic interpretation of entanglement entropy in conformal field theories dual to supergravity on anti-de Sitter (adS) is generalized to include entanglement entropy of black holes living…

高能物理 - 理论 · 物理学 2009-11-11 Sergey N. Solodukhin

We study holographic entanglement entropy in dS/CFT and introduce time-like entanglement entropy in CFTs. Both of them take complex values in general and are related with each other via an analytical continuation. We argue that they are…

高能物理 - 理论 · 物理学 2023-02-01 Kazuki Doi , Jonathan Harper , Ali Mollabashi , Tadashi Takayanagi , Yusuke Taki

We investigate the behavior of entanglement entropy across the holographic p-wave superconductor phase transition in an Einstein-Yang-Mills theory with a negative cosmological constant. The holographic entanglement entropy is calculated for…

高能物理 - 理论 · 物理学 2012-12-17 Rong-Gen Cai , Song He , Li Li , Yun-Long Zhang

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…

高能物理 - 理论 · 物理学 2012-11-07 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

We identify various universal contributions to the entanglement entropy for massive free fields. As well as the `area' terms found in [1], we find other geometric contributions of the form discussed in [2]. We also compute analogous…

高能物理 - 理论 · 物理学 2015-06-11 Aitor Lewkowycz , Robert C. Myers , Michael Smolkin

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…

高能物理 - 理论 · 物理学 2018-06-29 Alexander Jahn , Tadashi Takayanagi

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 note we calculate the holographic entanglement entropy in the presence of a conformal interface for a geometric configuration in which the entangling region ${\cal A}$ lies on one side of the interface. For the supersymmetric Janus…

高能物理 - 理论 · 物理学 2016-01-20 Michael Gutperle , John D. Miller

We develop an analytic perturbative expansion to study the propagation of entanglement entropy for small subsystems after a global quench, in the context of the AdS/CFT correspondence. Opposite to the large interval limit, in this case the…

高能物理 - 理论 · 物理学 2017-04-13 Sandipan Kundu , Juan F. Pedraza
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