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Holographic studies of the entanglement entropy of field theories dual to charged and neutral black holes in asymptotically global AdS4 spacetimes are presented. The goal is to elucidate various properties of the quantity that are peculiar…

High Energy Physics - Theory · Physics 2014-08-07 Clifford V. Johnson

The maximum entropy that can be stored in a bounded region of space is in dispute: it goes as volume, implies (non-gravitational) microphysics; it goes as the surface area, asserts the "holographic principle." Here I show how the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ulvi Yurtsever

We use holographic techniques to calculate the first thermal correction to the entanglement entropy of a cap-like region of a CFT defined on a sphere, successfully reproducing the field theory result. Since this is an order-one correction…

High Energy Physics - Theory · Physics 2015-02-27 Stefan Leichenauer

We reformulate entanglement wedge reconstruction in the language of operator-algebra quantum error correction with infinite-dimensional physical and code Hilbert spaces. Von Neumann algebras are used to characterize observables in a…

High Energy Physics - Theory · Physics 2023-02-09 Monica Jinwoo Kang , David K. Kolchmeyer

We calculate the holographic entanglement entropy in type IIB supergravity solutions that are dual to half-BPS disorder-type surface defects in ${\cal N}=4$ Super Yang-Mills theory. The entanglement entropy is calculated for a ball-shaped…

High Energy Physics - Theory · Physics 2016-05-04 Simon A. Gentle , Michael Gutperle , Chrysostomos Marasinou

The holographic representation of the entanglement entropy of four dimensional conformal field theories is studied. By generalizing the replica trick the anomalous terms in the entanglement entropy are evaluated. The same terms in the…

High Energy Physics - Theory · Physics 2008-11-26 A. Schwimmer , S. Theisen

We investigate the holographic entanglement entropy in the Rindler-AdS space-time to obtain an exact solution for the corresponding minimal surface. Moreover, the holographic entanglement entropy of the charged single accelerated AdS Black…

High Energy Physics - Theory · Physics 2019-07-02 Masoumeh Tavakoli , Behrouz Mirza , Zeinab Sherkatghanad

With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001. Apart from providing…

High Energy Physics - Theory · Physics 2012-06-15 Veronika E. Hubeny , Mukund Rangamani , Tadashi Takayanagi

A simple derivation of the bound on entropy is given and the holographic principle is discussed. We estimate the number of quantum states inside space region on the base of uncertainty relation. The result is compared with the Bekenstein…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. G. Ivanov , I. V. Volovich

As a toy model of a gapped system, we investigate the entanglement entropy of a massive scalar field in 1+1 dimensions at nonzero temperature. In a small mass m and temperature T limit, we put upper and lower bounds on the two largest…

High Energy Physics - Theory · Physics 2013-05-30 Christopher P. Herzog , Michael Spillane

If we assume that the initial conditions for the universe were such that there was no volume-extensive entropy `at the beginning of time' (which is true in Linde's chaotic inflation), we can formulate a covariant holographic bound on the…

High Energy Physics - Theory · Physics 2007-05-23 Michal Fabinger

We consider entanglement entropy in the context of gauge/gravity duality for conformal field theories in even dimensions. The holographic prescription due to Ryu and Takayanagi (RT) leads to an equation describing how the entangling surface…

High Energy Physics - Theory · Physics 2015-06-15 Arpan Bhattacharyya , Aninda Sinha

We study the possibility that black hole entropy be identified as entropy of entanglement across the horizon of the vacuum of a quantum field in the presence of the black hole. We argue that a recent proposal for computing entanglement…

High Energy Physics - Theory · Physics 2009-11-11 Roberto Emparan

The Ryu-Takayanagi conjecture provides a holographic description for the entanglement entropy for the strongly coupled holographic CFTs in the semi-classical limit. It proposes that the entanglement entropy is given by the area of the…

High Energy Physics - Theory · Physics 2022-07-19 Jun Tsujimura

We initiate a systematic enumeration and classification of entropy inequalities satisfied by the Ryu-Takayanagi formula for conformal field theory states with smooth holographic dual geometries. For 2, 3, and 4 regions, we prove that the…

High Energy Physics - Theory · Physics 2015-09-23 Ning Bao , Sepehr Nezami , Hirosi Ooguri , Bogdan Stoica , James Sully , Michael Walter

In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional…

High Energy Physics - Theory · Physics 2018-03-14 Mostafa Ghasemi , Shahrokh Parvizi

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

The holographic entanglement entropy of an infinite strip subsystem on the asymptotic AdS boundary is used as a probe to study the thermodynamic instabilities of planar R-charged black holes (or their dual field theories). We focus on the…

High Energy Physics - Theory · Physics 2014-09-24 Xing Wu

We studied the holographic entanglement entropy for a strip and sharp wedge entangling regions in momentum relaxation systems. In the case of strips, we found analytic and numerical results for the entanglement entropy and showed the effect…

High Energy Physics - Theory · Physics 2019-01-09 Kyung Kiu Kim , Chanyong Park , Jung Hun Lee , Byoungjoon Ahn

The holographic bound states that the entropy in a region cannot exceed one quarter of the area (in Planck units) of the bounding surface. A version of the holographic principle that can be applied to cosmological spacetimes has recently…

High Energy Physics - Theory · Physics 2007-05-23 Dan N. Vollick
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