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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 consider the evolution of entanglement entropy in a two-dimensional conformal field theory with a holographic dual. Specifically, we are interested in a class of excited states produced by a combination of pure-state (local operator) and…

High Energy Physics - Theory · Physics 2026-01-30 Kazuki Doi , Tadashi Takayanagi

The holographic entanglement entropy is studied numerically in (4+1)-dimensional spherically symmetric Gauss-Bonnet AdS black hole spacetime with compact boundary. On the bulk side the black hole spacetime undergoes a van der Waals-like…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Yuan Sun , Hao Xu , Liu Zhao

We derive the geodesic equation for determining the Ryu-Takayanagi surface in $AdS_3$ deformed by single trace $\mu T \bar T + \varepsilon_+ J \bar T + \varepsilon_- T \bar J$ deformation for generic values of $(\mu, \varepsilon_+,…

High Energy Physics - Theory · Physics 2021-03-17 Soumangsu Chakraborty , Akikazu Hashimoto

We use the formalism of geodesic Witten diagrams to study the holographic realization of the conformal block expansion for entanglement entropy of two disjoint intervals. The agreement between the Ryu-Takayanagi formula and the identity…

High Energy Physics - Theory · Physics 2019-07-24 Andrea Prudenziati

We check formally that the Hubeny-Rangamani-Takayanagi prescription for holographic entanglement entropy -- when applied to a static black brane spacetime and to a wide class of subregions that do not lie on a constant time slice -- gives…

High Energy Physics - Theory · Physics 2022-06-17 Tyler Guglielmo , Phuc Nguyen

We study the holographic entanglement entropy in a homogeneous falling shell background, which is dual to the strongly coupled field theory following a global quench. For d=2 conformal field theories, it is known that the entropy has a…

High Energy Physics - Theory · Physics 2013-09-12 Yong-Zhuang Li , Shao-Feng Wu , Yong-Qiang Wang , Guo-Hong Yang

The duality between a $d$-dimensional conformal field theory with relevant deformation and a gravity theory on an asymptotically AdS$_{d+1}$ geometry, has become a suitable tool in the investigation of the emergence of gravity from quantum…

High Energy Physics - Theory · Physics 2018-04-24 Dongmin Jang , Yoonbai Kim , O-Kab Kwon , D. D. Tolla

We study extremal surfaces in a traversable wormhole geometry that connects two locally AdS$_5$ asymptotic regions. In the context of the AdS/CFT correspondence, we use these to compute the holographic entanglement entropy for different…

High Energy Physics - Theory · Physics 2022-07-04 Mariano Chernicoff , Gaston Giribet , Emilio Rubín de Celis

We study the doubly holographic model of [arXiv:1908.10996] in the situation where a black hole in two-dimensional JT gravity theory is coupled to an auxiliary bath system at arbitrary finite temperature. Depending on the initial…

High Energy Physics - Theory · Physics 2020-08-11 Hong Zhe Chen , Zachary Fisher , Juan Hernandez , Robert C. Myers , Shan-Ming Ruan

We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional…

High Energy Physics - Theory · Physics 2020-04-22 Ahmed Almheiri , Raghu Mahajan , Juan Maldacena , Ying Zhao

When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface lies slightly…

High Energy Physics - Theory · Physics 2020-09-01 Geoffrey Penington

We study the entanglement entropy in confining theories with gravity duals using the holographic prescription of Ryu and Takayanagi. The entanglement entropy between a region and its complement is proportional to the minimal area of a bulk…

High Energy Physics - Theory · Physics 2009-11-18 Ari Pakman , Andrei Parnachev

Defect extremal surface is defined by extremizing the Ryu-Takayanagi formula corrected by the quantum defect theory. This is interesting when the AdS bulk contains a defect brane (or string). We introduce a defect extremal surface formula…

High Energy Physics - Theory · Physics 2022-01-10 Tianyi Li , Ma-Ke Yuan , Yang Zhou

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…

High Energy Physics - Theory · Physics 2009-12-08 Tatsuma Nishioka , Shinsei Ryu , Tadashi Takayanagi

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'…

High Energy Physics - Theory · Physics 2014-11-18 Jose L. F. Barbon , Carlos A. Fuertes

We embed spherical Rindler space -- a geometry with a spherical hole in its center -- in asymptotically AdS spacetime and show that it carries a gravitational entropy proportional to the area of the hole. Spherical AdS-Rindler space is…

High Energy Physics - Theory · Physics 2014-06-12 Vijay Balasubramanian , Borun D. Chowdhury , Bartlomiej Czech , Jan de Boer , Michal P. Heller

Using a holographic proposal for the entanglement entropy we study its behavior in various supergravity backgrounds. We are particularly interested in the possibility of using the entanglement entropy as way to detect transitions induced by…

High Energy Physics - Theory · Physics 2009-08-18 Ibrahima Bah , Alberto Faraggi , Leopoldo A. Pando Zayas , Cesar A. Terrero-Escalante

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

In this paper, we have investigated the entanglement thermodynamics for $d$-dimensional charged $AdS$ black hole by studying the holographic entanglement entropy in different cases. We have first computed the holographic entanglement…

High Energy Physics - Theory · Physics 2018-12-03 Sourav Karar , Debabrata Ghorai , Sunandan Gangopadhyay
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