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We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate…

高能物理 - 理论 · 物理学 2011-02-22 Robert C. Myers , Aninda Sinha

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…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Tadashi Takayanagi

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…

高能物理 - 理论 · 物理学 2018-03-14 Mostafa Ghasemi , Shahrokh Parvizi

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…

高能物理 - 理论 · 物理学 2024-09-09 Sergio Hernández-Cuenca , Veronika E. Hubeny , Massimiliano Rota

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…

高能物理 - 理论 · 物理学 2020-05-13 Alexandre Belin , Nabil Iqbal , Jorrit Kruthoff

We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a…

高能物理 - 理论 · 物理学 2011-05-12 Horacio Casini , Marina Huerta , Robert C. Myers

Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle. This article provides a review of entanglement entropy from a mixed…

高能物理 - 理论 · 物理学 2019-12-30 Tatsuma Nishioka

The entanglement entropy of three-dimensional conformal field theories contains a universal contribution coming from corners in the entangling surface. We study these contributions in a holographic framework and, in particular, we consider…

高能物理 - 理论 · 物理学 2015-09-30 Pablo Bueno , Robert C. Myers

Recent work has shown that entanglement and the structure of spacetime are intimately related. One way to investigate this is to begin with an entanglement entropy in a conformal field theory (CFT) and use the AdS/CFT correspondence to…

高能物理 - 理论 · 物理学 2021-01-13 Ashton Lowenstein , Avik Chakraborty

We study universal features in the shape dependence of entanglement entropy in the vacuum state of a conformal field theory (CFT) on $\mathbb{R}^{1,d-1}$. We consider the entanglement entropy across a deformed planar or spherical entangling…

高能物理 - 理论 · 物理学 2016-04-22 Thomas Faulkner , Robert G. Leigh , Onkar Parrikar

The entanglement "first law" in conformal field theories relates the entanglement entropy for a ball-shaped region to an integral over the same region involving the expectation value of the CFT stress-energy tensor, for infinitesimal…

高能物理 - 理论 · 物理学 2014-05-14 Brian Swingle , Mark Van Raamsdonk

A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the…

高能物理 - 理论 · 物理学 2008-11-26 Dmitri V. Fursaev

We examine holographic entanglement entropy with higher curvature gravity in the bulk. We show that in general Wald's formula for horizon entropy does not yield the correct entanglement entropy. However, for Lovelock gravity, there is an…

高能物理 - 理论 · 物理学 2011-06-01 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

Given two otherwise decoupled $D$-dimensional CFTs which possess a common (finite) symmetry subcategory, one can consider entangled boundary states of their $(D+1)$-dimensional SymTFTs. This roughly corresponds to performing a gauging of…

高能物理 - 理论 · 物理学 2025-12-12 Ethan Torres , Xingyang Yu

We study entanglement entropy for regions with a singular boundary in higher dimensions using the AdS/CFT correspondence and find that various singularities make new universal contributions. When the boundary CFT has an even spacetime…

高能物理 - 理论 · 物理学 2015-06-05 Robert C. Myers , Ajay Singh

In the framework of the AdS/CFT correspondence, imposing a scalar field in the bulk space-time leads to deform the corresponding CFT in the boundary, which may produce corrections to entanglement entropy, as well as the so-called subregion…

高能物理 - 理论 · 物理学 2019-07-24 Elaheh Bakhshaei , Ahmad Shirzad

Motivated by the holographic principle, within the context of the AdS/CFT Correspondence in the large t'Hooft limit, we investigate how the geometry of certain highly symmetric bulk spacetimes can be recovered given information of physical…

高能物理 - 理论 · 物理学 2011-02-16 Samuel Bilson

Entanglement entropies are notoriously difficult to compute. Large-N strongly-coupled holographic CFTs are an important exception, where the AdS/CFT dictionary gives the entanglement entropy of a CFT region in terms of the area of an…

高能物理 - 理论 · 物理学 2017-05-30 Sebastian Fischetti , Toby Wiseman

By generalizing different recent works to the context of higher curvature gravity, we provide a unifying framework for three related results: (i) If an asymptotically AdS spacetime computes the entanglement entropies of ball-shaped regions…

高能物理 - 理论 · 物理学 2018-05-22 Felix M. Haehl , Eliot Hijano , Onkar Parrikar , Charles Rabideau

We derive a general formula for renormalized entanglement entropy in even dimensional CFTs holographically dual to Einstein gravity in one dimension higher. In order to renormalize, we adapt the Kounterterm method to asymptotically locally…

高能物理 - 理论 · 物理学 2020-01-08 Giorgos Anastasiou , Ignacio J. Araya , Alberto Guijosa , Rodrigo Olea
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