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On a manifold with boundary, the constraint algebra of general relativity may acquire a central extension, which can be computed using covariant phase space techniques. When the boundary is a (local) Killing horizon, a natural set of…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of the boundary spacetime of a holographic CFT in any state describing a classical bulk geometry. We argue that the…

High Energy Physics - Theory · Physics 2024-09-09 Sergio Hernández-Cuenca , Veronika E. Hubeny , Massimiliano Rota

We propose that the spectrum of the surface area of the apparent horizon (AH) of de Sitter (dS) spacetime leads to corrected temperature and entropy of the dS spacetime, offering new insights into its thermodynamic properties. This is done…

General Relativity and Quantum Cosmology · Physics 2024-09-20 S. Jalalzadeh , H. Moradpour , H. Tebyanian

We study the entanglement entropy between a strip region with width $2R$ and its complement in strongly coupled large-$N$ conformal field theory (CFT) on $\mathbb{R}^{1,n}$ with chemical potential and angular momentum in an thermal…

High Energy Physics - Theory · Physics 2022-09-13 Po-Chun Sun

The Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry. For 3D gravity theories and BTZ black holes, we identify the minimal…

High Energy Physics - Theory · Physics 2017-09-19 I. Bakhmatov , N. S. Deger , J. Gutowski , E. Ó Colgáin , H. Yavartanoo

In this work we investigate holographic spacelike and timelike entanglement entropy using the Ryu-Takayanagi prescription, for slab-shaped and ball-shaped entangling regions. We work with an infinite family of 10-dimensional Type IIB…

High Energy Physics - Theory · Physics 2026-01-09 Jonathan Whittle

In this paper, we study the relation between entanglement and global internal symmetries on de Sitter space. We consider two symmetric causally disconnected regions in the hyperbolic chart on de Sitter space. Since entanglement measures…

High Energy Physics - Theory · Physics 2023-06-12 Himanshu Gaur , Urjit A. Yajnik

In this paper, we demonstrate that the first law of holographic pseudo-entropy, which is a non-Hermitian generalization of entanglement entropy in a two-dimensional conformal field theory (CFT), is equivalent to the perturbative Einstein…

High Energy Physics - Theory · Physics 2025-12-01 Kosei Fujiki , Michitaka Kohara , Kotaro Shinmyo , Yu-ki Suzuki , Tadashi Takayanagi

A calculation of the entropy of static, electrically charged, black holes with spherical, toroidal, and hyperbolic compact and oriented horizons, in D spacetime dimensions, is performed. These black holes live in an anti-de Sitter…

High Energy Physics - Theory · Physics 2008-11-26 Goncalo A. S. Dias , Jose' P. S. Lemos

We study holographic entanglement entropy for certain logarithmic conformal field theories by making use of their gravity descriptions. The corresponding gravity descriptions are provided by higher derivative gravity at critical points…

High Energy Physics - Theory · Physics 2014-05-14 Mohsen Alishahiha , Amin Faraji Astaneh , M. Reza Mohammadi Mozaffar

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 argue that the entanglement of purification for two dimensional holographic CFT can be obtained from conformal blocks with internal twist operators. First, we explain our formula from the view point of tensor network model of holography.…

High Energy Physics - Theory · Physics 2019-12-06 Hayato Hirai , Kotaro Tamaoka , Tsuyoshi Yokoya

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

This work presents a study of the entanglement entropy (EE) in a class of four-dimensional ${\cal N}=1$ linear quiver SCFTs deformed by the presence of a VEV. We review the holographic backgrounds dual to these theories, and calculate the…

High Energy Physics - Theory · Physics 2025-09-25 Dimitrios Chatzis , Ali Fatemiabhari , Mauro Giliberti , Madison Hammond

We introduce a new optimization procedure for Euclidean path integrals which compute wave functionals in conformal field theories (CFTs). We optimize the background metric in the space on which the path integration is performed.…

High Energy Physics - Theory · Physics 2017-08-30 Pawel Caputa , Nilay Kundu , Masamichi Miyaji , Tadashi Takayanagi , Kento Watanabe

In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic…

High Energy Physics - Theory · Physics 2015-06-17 Hong Liu , Márk Mezei

Significant work has gone into determining the minimal set of entropy inequalities that determine the holographic entropy cone. Holographic systems with three or more parties have been shown to obey additional inequalities that generic…

High Energy Physics - Theory · Physics 2015-09-15 Emory Brown , Ning Bao , Sepehr Nezami

The geometric entanglement entropy of a quantum field in the vacuum state is known to be divergent and, when regularized, to scale as the area of the boundary of the region. Here we introduce an operational definition of the entropy of the…

High Energy Physics - Theory · Physics 2019-04-10 Eugenio Bianchi , Alejandro Satz

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

Strongly Correlated Electrons · Physics 2008-11-26 Eduardo Fradkin , Joel E. Moore

Recent work found an enhanced correction to the entanglement entropy of a subsystem in a chaotic energy eigenstate. The enhanced correction appears near a phase transition in the entanglement entropy that happens when the subsystem size is…

High Energy Physics - Theory · Physics 2020-12-02 Xi Dong , Huajia Wang