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Quantum gravity in a finite region of spacetime is conjectured to be dual to a conformal field theory deformed by the irrelevant operator $T \overline{T}$. We test this conjecture with entanglement entropy, which is sensitive to ultraviolet…

高能物理 - 理论 · 物理学 2018-10-03 William Donnelly , Vasudev Shyam

Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general proof of the holographic formula which…

高能物理 - 理论 · 物理学 2010-02-03 Dmitri V. Fursaev

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…

高能物理 - 理论 · 物理学 2015-06-18 Shamik Banerjee , Arpan Bhattacharyya , Apratim Kaviraj , Kallol Sen , Aninda Sinha

We compute the bulk entanglement entropy across the Ryu-Takayanagi surface for a one-particle state in a scalar field theory in AdS$_3$. We work directly within the bulk Hilbert space and include the spatial spread of the scalar…

高能物理 - 理论 · 物理学 2018-09-26 Alexandre Belin , Nabil Iqbal , Sagar F. Lokhande

Recently, several notions of entanglement in time have emerged as a novel frontier in quantum many-body physics, quantum field theory and gravity. We propose a systematic prescription to characterize temporal entanglement in relativistic…

高能物理 - 理论 · 物理学 2025-07-29 Michal P. Heller , Fabio Ori , Alexandre Serantes

We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part…

高能物理 - 理论 · 物理学 2016-09-21 Peter A. R. Jones , Marika Taylor

We consider entanglement entropy in quantum field theories with a gravity dual. In the gravity description, the leading order contribution comes from the area of a minimal surface, as proposed by Ryu-Takayanagi. Here we describe the one…

高能物理 - 理论 · 物理学 2015-06-16 Thomas Faulkner , Aitor Lewkowycz , Juan Maldacena

The Ryu-Takayanagi formula relates entanglement entropy in a field theory to the area of extremal surfaces anchored to the boundary of a dual AdS space. It is interesting to ask if there is also an information theoretic interpretation of…

高能物理 - 理论 · 物理学 2018-12-19 Vijay Balasubramanian , Charles Rabideau

We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension. This is the simplest case for which the so-called…

高能物理 - 理论 · 物理学 2023-01-11 Elena Cáceres , Rodrigo Castillo Vásquez , Alejandro Vilar López

Holographic entanglement entropy is a key concept linking quantum information theory and gravity. Since the original conjecture of Ryu and Takayanagi, holographic entanglement entropy has been generalized beyond Einstein--Hilbert gravity to…

高能物理 - 理论 · 物理学 2026-02-13 Dušan Đorđević , Dragoljub Gočanin

This is an extended version of our short report hep-th/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant…

高能物理 - 理论 · 物理学 2010-02-03 Shinsei Ryu , Tadashi Takayanagi

We argue that the holographic formula relating entanglement entropy and the area of a minimal surface is the key to define the area of surfaces in the (emergent) spacetime from the dual theory on the boundary. So we promote the entropy/area…

高能物理 - 理论 · 物理学 2014-04-14 Marcelo Botta Cantcheff

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…

高能物理 - 理论 · 物理学 2020-04-15 Shinji Hirano

We derive the geodesic equation for determining the Ryu-Takayanagi surface in $AdS_3$ deformed by single trace $\mu T \bar T + \varepsilon_+ J \bar T + \varepsilon_- T \bar J$ deformation for generic values of $(\mu, \varepsilon_+,…

高能物理 - 理论 · 物理学 2021-03-17 Soumangsu Chakraborty , Akikazu Hashimoto

We use the holographic methods to calculate the entanglement entropy for field theories modified by $T\bar{T}$ insertion. Based on the available holographic proposals, this calculation reduces to the holographic computations in AdS with…

高能物理 - 理论 · 物理学 2022-01-26 Kuroush Allameh , Amin Faraji Astaneh , Alireza Hassanzadeh

The Ryu-Takayanagi (RT) formula relates the entanglement entropy of a region in a holographic theory to the area of a corresponding bulk minimal surface. Using the max flow-min cut principle, a theorem from network theory, we rewrite the RT…

高能物理 - 理论 · 物理学 2018-08-23 Michael Freedman , Matthew Headrick

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…

高能物理 - 理论 · 物理学 2022-09-13 Po-Chun Sun

The Ryu-Takayanagi conjecture establishes a remarkable connection between quantum systems and geometry. Specifically, it relates the entanglement entropy to minimal surfaces within the setting of AdS/CFT correspondence. This Letter shows…

强关联电子 · 物理学 2017-03-14 Stefan Kehrein

We consider the question of whether the leading contribution to the entanglement entropy in holographic CFTs is truly given by the expectation value of a linear operator as is suggested by the Ryu-Takayanagi formula. We investigate this…

高能物理 - 理论 · 物理学 2017-02-21 Ahmed Almheiri , Xi Dong , Brian Swingle

We study minimum area surfaces associated with a region, $R$, of an internal space. For example, for a warped product involving an asymptotically $AdS$ space and an internal space $K$, the region $R$ lies in $K$ and the surface ends on…

高能物理 - 理论 · 物理学 2023-05-17 Sumit R. Das , Anurag Kaushal , Gautam Mandal , Kanhu Kishore Nanda , Mohamed Hany Radwan , Sandip P. Trivedi