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We perform a detailed analysis of holographic entanglement R\'enyi entropy in some modified theories of gravity with four dimensional conformal field theory duals. First, we construct perturbative black hole solutions in a recently proposed…

High Energy Physics - Theory · Physics 2017-07-25 Anshuman Dey , Pratim Roy , Tapobrata Sarkar

Since the work of Ryu and Takayanagi, deep connections between quantum entanglement and spacetime geometry have been revealed. The negative eigenvalues of the partial transpose of a bipartite density operator is a useful diagnostic of…

High Energy Physics - Theory · Physics 2021-06-08 Xi Dong , Xiao-Liang Qi , Michael Walter

We calculate quantum corrections to holographic entanglement entropy in the proposed duality between $T\bar{T}$-deformed holographic 2D CFTs and gravity in AdS$_{3}$ with a finite cutoff. We first establish the dictionary between the two…

High Energy Physics - Theory · Physics 2020-05-20 William Donnelly , Elise LePage , Yan-Yan Li , Andre Pereira , Vasudev Shyam

We employ the holographic approach to study the thermalization in the quenched strongly-coupled field theories with very general anisotropic scalings including Lifshitz and hyperscaling violating fixed points. The holographic dual is a…

High Energy Physics - Theory · Physics 2021-04-02 Po-Chun Sun , Da-Shin Lee , Chen-Pin Yeh

In the context of the holographic duality, the entanglement entropy of ordinary QFT in a subregion in the boundary is given by a quarter of the area of an minimal surface embedded in the bulk spacetime. This rule has been also extended to a…

High Energy Physics - Theory · Physics 2020-08-26 Marcelo Botta-Cantcheff , Pedro J. Martinez , Juan F. Zarate

In this paper, we holographically study the renormalization group (RG) flow in a three-dimensional Einstein-dilaton gravity with a potential permitting several types of the RG flow with nontrivial beta-functions. By using the intrinsic…

High Energy Physics - Theory · Physics 2020-04-15 Chanyong Park , Jung Hun Lee

In this paper, we study the entanglement entropy in a large class of states of two-dimensional conformal field theory in the the large central charge limit. This class of states includes the states created by the insertion of a finite…

High Energy Physics - Theory · Physics 2016-09-21 Bin Chen , Jie-qiang Wu

We study the behavior of the entanglement entropy in $(2+1)$--dimensional strongly coupled theories via the AdS/CFT correspondence. We consider theories at a finite charge density with a magnetic field, with their holographic dual being…

High Energy Physics - Theory · Physics 2015-10-06 Tameem Albash , Clifford V. Johnson , Scott MacDonald

We study entanglement entropy in two-dimensional conformal field theories with a gravitational anomaly. In theories with gravity duals, this anomaly is holographically represented by a gravitational Chern-Simons term in the bulk action. We…

High Energy Physics - Theory · Physics 2015-06-19 Alejandra Castro , Stephane Detournay , Nabil Iqbal , Eric Perlmutter

We study entanglement entropy in a non-relativistic Schr\"{o}dinger field theory at finite temperature and electric charge using the principle of gauge/gravity duality. The spacetime geometry is obtained from a charged AdS black hole by a…

High Energy Physics - Theory · Physics 2024-01-03 Suman Das , Sabyasachi Maulik

We study shape-deformations of the entanglement entropy and the modular Hamiltonian for an arbitrary subregion and state (with a smooth dual geometry) in a holographic conformal field theory. More precisely, we study a double-deformation…

High Energy Physics - Theory · Physics 2018-07-04 Aitor Lewkowycz , Onkar Parrikar

Holographic entanglement entropy and the first law of thermodynamics are believed to decode the gravity theory in the bulk. In particular, assuming the Ryu-Takayanagi (RT)\cite{ryu-takayanagi} formula holds for ball-shaped regions on the…

High Energy Physics - Theory · Physics 2022-09-05 Cunwei Fan , Gabriele La Nave , Philip W. Phillips

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 examine relative entropy in the context of the higher-spin/CFT duality. We consider 3$d$ bulk configurations in higher spin gravity which are dual to the vacuum and a high temperature state of a CFT with $\mathcal{W}$-algebra symmetries…

High Energy Physics - Theory · Physics 2014-12-30 Shouvik Datta

In this paper we use the method of generalized gravitational entropy in \cite{Lewkowycz:2013nqa} to construct the dual bulk geometry for a spherical entangling surface, and calculate the R\'enyi entropy with the dual bulk gravity theory…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Wu-zhong Guo , Miao Li

We identify a special information-theoretic property of quantum field theories with holographic duals: the mutual informations among arbitrary disjoint spatial regions A,B,C obey the inequality I(A:BC) >= I(A:B)+I(A:C), provided…

High Energy Physics - Theory · Physics 2013-07-25 Patrick Hayden , Matthew Headrick , Alexander Maloney

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 calculate entanglement entropy in a non-relativistic field theory described by the Schr\"odinger operator. We demonstrate that the entropy is characterized by i) the area law and ii) UV divergences that are identical to those in the…

High Energy Physics - Theory · Physics 2010-05-12 Sergey N. Solodukhin

We study when covariant holographic entanglement entropy determines a bulk radial geometry. We focus on stationary homogeneous three-dimensional geometries for which the Hubeny--Rangamani--Takayanagi (HRT) problem reduces to a…

High Energy Physics - Theory · Physics 2026-05-20 Ji-Seong Chae

We derive a generalized version of the Ryu-Takayanagi formula for the entanglement entropy in arbitrary diffeomorphism invariant field theories. We use a recent framework which expresses the measurable quantities of a quantum theory as a…

High Energy Physics - Theory · Physics 2025-08-21 Artem Averin