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We derive the universal terms of entanglement entropy for 6d CFTs by applying the holographic and the field theoretical approaches, respectively. Our formulas are conformal invariant and agree with the results of [34,35]. Remarkably, we…

High Energy Physics - Theory · Physics 2015-09-22 Rong-Xin Miao

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

We show that the Gauss-Bonnet term can have physical effects in four dimensions. Specifically, the entropy of a black hole acquires a correction that is proportional to the Euler characteristic of the cross sections of the horizon. While…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tomas Liko

We calculate the holographic entanglement entropy for the rotating cylindrical black holes in $d+1$ dimensions as perturbations over $AdS_{d+1}$. This is accomplished based on the first order variation of the area functional in arbitrary…

General Relativity and Quantum Cosmology · Physics 2020-03-13 Hamideh Nadi , Behrouz Mirza , Zeinab Sherkatghanad , Zahra Mirzaiyan

We introduce a prescription to compute the entanglement entropy of Galilean conformal field theories by combining gravitational anomalies and an \.{I}n\"{o}n\"{u}-Wigner contraction. We find that our expression for the entanglement entropy…

High Energy Physics - Theory · Physics 2016-03-02 Seyed Morteza Hosseini , Alvaro Veliz-Osorio

The gravitational Lagrangian can be written as a summation of a bulk and a total derivative term. For some theories of gravity such as Einstein gravity, or more general Lovelock gravities, there are Lagrangian holographic relations between…

High Energy Physics - Theory · Physics 2023-01-11 H. Khodabakhshi , H. Lu , R. B. Mann

We study the holographic s+p model in both four dimensional (4D) and five dimensional (5D) Einstein-Gauss-Bonnet (EGB) gravity. We first show a phase diagram with the Gauss-Bonnet parameter fixed to a small value $\alpha=10^{-7}$ to choose…

High Energy Physics - Theory · Physics 2023-06-26 Xing-Kun Zhang , Zhang-Yu Nie , Hui Zeng , Qiyuan Pan

We study the holographic dual of a massive gravity with Gauss-Bonnet and cubic quasi-topological higher curvature terms. Firstly, we find the energy-momentum two-point function of the 4-dimensional boundary theory where the massive term…

High Energy Physics - Theory · Physics 2019-01-31 Shahrokh Parvizi , Mehdi Sadeghi

We develop a formalism for calculating the entanglement entropy of an arbitrary spatial region of a gravitating spacetime at a moment of time symmetry. The crucial ingredient is a path integral over embeddings of the region into the overall…

High Energy Physics - Theory · Physics 2024-01-12 Vijay Balasubramanian , Charlie Cummings

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…

High Energy Physics - Theory · Physics 2016-01-20 Michael Gutperle , John D. Miller

Bousso's entropy bound for two-dimensional gravity is investigated in the lightcone gauge. It is shown that due to the Weyl anomaly, the null component of the energy-momentum tensor takes a nonvanishing value, and thus, combined with the…

High Energy Physics - Theory · Physics 2016-09-06 Masafumi Fukuma , Akitsugu Miwa , Kazuyoshi Takahashi

We comment on the recently introduced Gauss-Bonnet gravity in four dimensions. We argue that it does not make sense to consider this theory to be defined by a set of $D\to 4$ solutions of the higher-dimensional Gauss-Bonnet gravity. We show…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Robie A. Hennigar , David Kubiznak , Robert B. Mann , Christopher Pollack

We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general $D \ge 5$ dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings…

High Energy Physics - Theory · Physics 2010-06-01 Alex Buchel , Jorge Escobedo , Robert C. Myers , Miguel F. Paulos , Aninda Sinha , Michael Smolkin

Small variations of the entanglement entropy \delta S and the expectation value of the modular Hamiltonian \delta E are computed holographically for circular entangling curves in the boundary of AdS(4), using gravitational perturbations…

High Energy Physics - Theory · Physics 2015-08-05 Ioannis Bakas , Georgios Pastras

An entanglement Renyi entropy for a spatial partition of a system is studied in conformal theories which admit a dual description in terms of an anti-de Sitter gravity. The divergent part of the Renyi entropy is computed in 4D conformal N=4…

High Energy Physics - Theory · Physics 2015-06-03 Dmitri V. Fursaev

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 constraints imposed by entanglement on gravity in the context of holography. First, by demanding that relative entropy is positive and using the Ryu-Takayanagi entropy functional, we find certain constraints at a nonlinear…

High Energy Physics - Theory · Physics 2015-06-18 Shamik Banerjee , Arpan Bhattacharyya , Apratim Kaviraj , Kallol Sen , Aninda Sinha

We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose (4+d)-dimensional gravitational action contains terms proportional to quadratic curvature scalars.…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Carsten van de Bruck , Chris Longden

In this paper we study the propagation of entanglement entropy after a global instantaneous quench on the CFT boundary of AdS bulk. We consider the Gauss-Bonnet model as a higher curvature gravity model for which we correct the RT(HRT)…

High Energy Physics - Theory · Physics 2018-12-14 Hossein Ghaffarnejad , Emad Yaraie , Mohammad Farsam

We study entanglement entropy for a class of states in quantum field theory that are entangled superpositions of coherent states with well-separated supports, analogous to Einstein-Podolsky-Rosen or Bell states. We calculate the…

High Energy Physics - Theory · Physics 2012-05-28 Curtis T. Asplund
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