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We show that for a d-dimensional CFT in flat space, the Renyi entropy S_q across a spherical entangling surface has the following property: in an expansion around q=1, the first correction to the entanglement entropy is proportional to C_T,…

高能物理 - 理论 · 物理学 2015-06-16 Eric Perlmutter

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

Following the set up in arXiv:1408.3393, we study 4d N=1 superconformal field theories in conic spaces. We show that the universal part of supersymmetric R\'enyi entropy S_q across a spherical entangling surface in the limit q goes to 0 is…

高能物理 - 理论 · 物理学 2015-08-14 Yang Zhou

We investigate entanglement entropy in $3d$ $\mathcal{N}=2$ superconformal field theories from two different perspectives. We first confirm that the dependence of supersymmetric entanglement entropy (as defined in arXiv:1306.2958) on the…

高能物理 - 理论 · 物理学 2024-10-28 Pedro Vicente Marto , Umut Gürsoy , Guim Planella Planas

It has been realised that corners in entangling surfaces can induce new universal contributions to the entanglement entropy and R\'enyi entropy. In this paper we study universal corner contributions to entanglement negativity in three- and…

高能物理 - 理论 · 物理学 2016-08-24 Keun-Young Kim , Chao Niu , Da-Wei Pang

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

We determine the universal part of pseudoentropy for small shape deformations of spherical entangling surfaces in the context of de Sitter/conformal field theory (dS/CFT) correspondence. The leading correction at quadratic order in the…

高能物理 - 理论 · 物理学 2025-12-03 Giorgos Anastasiou , Ignacio J. Araya , Avijit Das , Javier Moreno

We consider deformation of a generic $d$ dimensional ($d\geq 2$) large-$N$ CFT on a sphere by a spin-0 operator which is bilinear in the components of the stress tensor. Such a deformation has been proposed to be holographically dual to an…

高能物理 - 理论 · 物理学 2019-09-26 Aritra Banerjee , Arpan Bhattacharyya , Soumangsu Chakraborty

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the…

高能物理 - 理论 · 物理学 2014-11-18 Shinsei Ryu , Tadashi Takayanagi

We derive the universal terms of entanglement entropy for 6d CFTs by applying the holographic and the field theoretical approaches, respectively. Our formulas are conformal invariant and agree with the results of [34,35]. Remarkably, we…

高能物理 - 理论 · 物理学 2015-09-22 Rong-Xin Miao

The entanglement entropy of the random transverse-field Ising model is calculated by a numerical implementation of the asymptotically exact strong disorder renormalization group method in 2d, 3d and 4d hypercubic lattices for different…

统计力学 · 物理学 2012-03-23 István A. Kovács , Ferenc Iglói

This note presents a purely geometric construction of the so-called twist-field correlation functions in Conformal Field Theory (CFT), derived from conical singularities. This approach provides a purely mathematical interpretation of the…

高能物理 - 理论 · 物理学 2025-02-03 Benoit Estienne , Jiasheng Lin

We derive several new results for Renyi entropy, $S_n$, across generic entangling surfaces. We establish a perturbative expansion of the Renyi entropy, valid in generic quantum field theories, in deformations of a given density matrix. When…

高能物理 - 理论 · 物理学 2015-06-22 Aitor Lewkowycz , Eric Perlmutter

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

高能物理 - 理论 · 物理学 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao

In quantum field theories defined on a spacetime with boundaries, the entanglement entropy exhibits subleading, boundary-induced corrections to the ubiquitous area law. At critical points described by conformal field theories (CFTs), and…

强关联电子 · 物理学 2019-05-07 Clement Berthiere

We study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite…

统计力学 · 物理学 2009-03-28 Benjamin Hsu , Michael Mulligan , Eduardo Fradkin , Eun-Ah Kim

We consider entanglement entropy of a cap-like region for a conformal field theory living on a sphere times a circle in d space-time dimensions. Assuming that the finite size of the system introduces a unique ground state with a nonzero…

高能物理 - 理论 · 物理学 2015-06-22 Christopher P. Herzog

It is generally believed that in spatial dimension d > 1 the leading contribution to the entanglement entropy S = - tr rho_A log rho_A scales as the area of the boundary of subsystem A. The coefficient of this "area law" is non-universal.…

统计力学 · 物理学 2009-10-24 Max A. Metlitski , Carlos A. Fuertes , Subir Sachdev

We study the entanglement entropy of theories that are derived from relevant perturbation of given CFTs for regions with a singular boundary by using the AdS/CFT correspondence. In the smooth case, it is well known that a relevant…

高能物理 - 理论 · 物理学 2019-02-26 Mostafa Ghasemi , Shahrokh Parvizi

Entanglement entropy in even dimensional conformal field theories (CFTs) contains well-known universal terms arising from the conformal anomaly. Renyi entropies are natural generalizations of the entanglement entropy that are much less…

高能物理 - 理论 · 物理学 2014-06-25 Jeongseog Lee , Lauren McGough , Benjamin R. Safdi