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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

A deSitter brane-world bounding regions of anti-deSitter space has a macroscopic entropy given by one-quarter the area of the observer horizon. A proposed variant of the AdS/CFT correspondence gives a dual description of this cosmology as…

High Energy Physics - Theory · Physics 2009-10-31 Stephen Hawking , Juan Maldacena , Andrew Strominger

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…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Tadashi Takayanagi

In this paper we calculate the entanglement entropy of two coupled gapless systems in general spatial dimension d. The gapless systems can be either conformal field theories (CFT), or Fermi liquids. We assume the two systems are coupled…

Strongly Correlated Electrons · Physics 2015-05-27 Cenke Xu

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…

High Energy Physics - Theory · Physics 2022-07-19 Jun Tsujimura , Yasusada Nambu

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

High Energy Physics - Theory · Physics 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao

We study minimum area surfaces associated with a region, $R$, of an internal space. For example, for a warped product involving an asymptotically $AdS$ space and an internal space $K$, the region $R$ lies in $K$ and the surface ends on…

High Energy Physics - Theory · Physics 2023-05-17 Sumit R. Das , Anurag Kaushal , Gautam Mandal , Kanhu Kishore Nanda , Mohamed Hany Radwan , Sandip P. Trivedi

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…

High Energy Physics - Theory · Physics 2021-01-27 Yoshifumi Nakata , Tadashi Takayanagi , Yusuke Taki , Kotaro Tamaoka , Zixia Wei

AdS plane waves describe simple backgrounds which are dual to anisotropically excited systems with energy fluxes. Upon dimensional reduction, they reduce to hyperscaling violating spacetimes: in particular, the $AdS_5$ plane wave is known…

High Energy Physics - Theory · Physics 2015-06-12 K. Narayan , Tadashi Takayanagi , Sandip P. Trivedi

We study quantum corrections to holographic entanglement entropy in AdS$_3$/CFT$_2$; these are given by the bulk entanglement entropy across the Ryu-Takayanagi surface for all fields in the effective gravitational theory. We consider bulk…

High Energy Physics - Theory · Physics 2020-05-13 Alexandre Belin , Nabil Iqbal , Jorrit Kruthoff

The real part of pseudo entropy in conformal field theories is holographically calculated by the area of some extremal spacelike surfaces in the dual dS and AdS spacetimes. We show that the flat-space limit of these curves in…

High Energy Physics - Theory · Physics 2024-10-08 Reza Fareghbal

In analogy to the first law of thermodynamics, the increase in entanglement entropy $\delta S$ of a conformal field theory (CFT) is proportional to the increase in energy, $\delta E$, of the subsystem divided by an effective entanglement…

High Energy Physics - Theory · Physics 2016-07-13 G. C. Levine , B. Caravan

We study the finite term of the holographic entanglement entropy for the charged black hole in AdS(d+2) and other examples of black holes when the spatial region in the boundary theory is given by one or two parallel strips. For one large…

High Energy Physics - Theory · Physics 2011-05-09 Erik Tonni

The effect of a spherical monodromy defect on the entanglement entropy and central charge $C_T$ of a free conformal scalar field propagating on an odd-dimensional sphere is investigated. As on even spheres the central charge becomes…

High Energy Physics - Theory · Physics 2022-02-01 J. S. Dowker

We consider entanglement entropy between two halves of space separated by a plane, in the theory of free photon in 3+1 dimensions. We show how to separate local gauge invariant quantities that belong to the two spatial regions. We calculate…

High Energy Physics - Theory · Physics 2020-08-05 Candost Akkaya , Alex Kovner

We study the finite term of the holographic entanglement entropy of finite domains with smooth shapes and for four dimensional gravitational backgrounds. Analytic expressions depending on the unit vectors normal to the minimal area surface…

High Energy Physics - Theory · Physics 2015-12-22 Piermarco Fonda , Domenico Seminara , Erik Tonni

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…

High Energy Physics - Theory · Physics 2010-02-03 Tomoyoshi Hirata , Tadashi Takayanagi

In anti-de Sitter space a highly accelerating observer perceives a Rindler horizon. The two Rindler wedges in AdS_{d+1} are holographically dual to an entangled conformal field theory that lives on two boundaries with geometry R x H_{d-1}.…

High Energy Physics - Theory · Physics 2019-01-16 Maulik Parikh , Prasant Samantray

Entanglement entropy in even dimensional conformal field theories (CFTs) contains well-known universal terms arising from the conformal anomaly. Renyi entropies are natural generalizations of the entanglement entropy that are much less…

High Energy Physics - Theory · Physics 2014-06-25 Jeongseog Lee , Lauren McGough , Benjamin R. Safdi

The entanglement entropy correlates two quantum sub-systems which are the part of the larger system. A logarithmic divergence term present in the entanglement entropy is universal in nature and directly proportional to the conformal…

High Energy Physics - Theory · Physics 2016-10-19 Dharm Veer Singh , Shobhit Sachan