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In this paper, we compute the exact form of the bulk geometry emerging from a $(1+1)$-dimensional conformal field theory using the holographic principle. We first consider the $(2+1)$-dimensional asymptotic $AdS$ metric in Poincare…

高能物理 - 理论 · 物理学 2020-02-03 Ashis Saha , Sourav Karar , Sunandan Gangopadhyay

We explore the fine structure of the holographic entanglement entropy proposal (the Ryu-Takayanagi formula) in AdS$_3$/CFT$_{2}$. With the guidance from the boundary and bulk modular flows we find a natural slicing of the entanglement wedge…

高能物理 - 理论 · 物理学 2018-11-14 Qiang Wen

In this work we propose a simple and systematic framework for including edge modes in gauge theories on manifolds with boundaries. We argue that this is necessary in order to achieve the factorizability of the path integral, the Hilbert…

高能物理 - 理论 · 物理学 2020-10-01 Marc Geiller , Puttarak Jai-akson

Two-dimensional conformal field theories with a large central charge and a small number of low-dimension operators are studied using the conformal block expansion. A universal formula is derived for the Renyi entropies of N disjoint…

高能物理 - 理论 · 物理学 2013-03-29 Thomas Hartman

We discuss entanglement entropy of gapped ground states in different dimensions, obtained on partitioning space into two regions. For trivial phases without topological order, we argue that the entanglement entropy may be obtained by…

强关联电子 · 物理学 2011-12-12 Tarun Grover , Ari M. Turner , Ashvin Vishwanath

A two-dimensional (2D) scalar-tensor gravity theory is used to describe the near-horizon near-extremal behavior of black 3-branes solutions of type IIB string theory. The asymptotic symmetry group of the 2D, asymptotically anti de Sitter…

高能物理 - 理论 · 物理学 2009-11-10 M. Cadoni

Motivated by the new theoretical paradigm that views spacetime geometry as emerging from the entanglement of a pre-geometric theory, we investigate the issue of the signature of the presence of horizons and localized matter on the…

高能物理 - 理论 · 物理学 2017-05-15 Mariano Cadoni , Parul jain

To understand an emergent spacetime is to understand the emergence of locality. Entanglement entropy is a powerful diagnostic of locality, because locality leads to a large amount of short distance entanglement. Two dimensional string…

高能物理 - 理论 · 物理学 2015-09-23 Sean A. Hartnoll , Edward Mazenc

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

We study the finite term of the holographic entanglement entropy of finite domains with smooth shapes and for four dimensional gravitational backgrounds. Analytic expressions depending on the unit vectors normal to the minimal area surface…

高能物理 - 理论 · 物理学 2015-12-22 Piermarco Fonda , Domenico Seminara , Erik Tonni

We consider entanglement entropy between two halves of space separated by a plane, in the theory of free photon in 3+1 dimensions. We show how to separate local gauge invariant quantities that belong to the two spatial regions. We calculate…

高能物理 - 理论 · 物理学 2020-08-05 Candost Akkaya , Alex Kovner

We consider the dynamics of the motion of a particle of mass M and spin J in AdS_3. The study reveals the presence of different dynamical sectors depending on the relative values of M, J and the AdS_3 radius R. For the subcritical M^2…

高能物理 - 理论 · 物理学 2014-09-17 Carles Batlle , Joaquim Gomis , Kiyoshi Kamimura , Jorge Zanelli

A scalar field in the ground state, when partially hidden from observation by a spherical boundary, acquires entanglement entropy $S$ proportional to the area of the surface. This area law is well established in flat space, where it follows…

量子物理 · 物理学 2013-10-01 Katja Ried

It is pointed out that the entanglement entropy of quantum fields near the horizon of a two-dimensional black hole can be derived by means of the conformal field theory. This can be done in a way analogous to the computation of the entropy…

高能物理 - 理论 · 物理学 2007-05-23 Dmitri V. Fursaev

Using recent developments in expressing one-loop partition functions in Euclidean $AdS_2$ space-times in terms of character integrals, we relate the one-loop effective action for a free field theory in $AdS_2$ (comprised of a massless…

高能物理 - 理论 · 物理学 2025-07-01 Gabriel Lopes Cardoso , Bernardo Moniz Martins , Suresh Nampuri

Entanglement entropy of quantum fields in gravitational settings is a topic of growing importance. This entropy of entanglement is conventionally computed relative to Cauchy hypersurfaces where it is possible via a partial tracing to…

高能物理 - 理论 · 物理学 2021-05-07 Yangang Chen , Lucas Hackl , Ravi Kunjwal , Heidar Moradi , Yasaman K. Yazdi , Miguel Zilhão

Entanglement entropy of gauge fields is calculated using the partition function in curved spacetime with a boundary. We derive a Gibbons-Hawking-like term from a Becchi-Rouet-Stora-Tyutin (BRST) action and a Wald-entropy-like codimension-2…

高能物理 - 理论 · 物理学 2016-02-02 Kuo-Wei Huang

We derive the formula of the entanglement entropy between the left and right oscillating modes of the $\sigma$-model with the de Sitter target space. To this end, we study the theory in the \emph{cosmological gauge} in which the…

高能物理 - 理论 · 物理学 2017-10-06 Ion V. Vancea

We discuss the factorization and continuity properties of fields in the Euclidean gravitational path integral with higher dimension operators constructed from powers of the Riemann tensor. We construct the boundary terms corresponding to…

高能物理 - 理论 · 物理学 2023-10-04 Patrick Draper , Szilard Farkas , Manthos Karydas

The method of topological renormalization in anti-de Sitter (AdS) gravity consists in adding to the action a topological term which renders it finite, defining at the same time a well-posed variational problem. Here, we use this…

高能物理 - 理论 · 物理学 2021-02-03 Luca Ciambelli , Cristóbal Corral , José Figueroa , Gastón Giribet , Rodrigo Olea