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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 propose a new holographic dual of conformal field theory defined on a manifold with boundaries, i.e. BCFT. Our proposal can apply to general boundaries and agrees with arXiv:1105.5165 for the special case of a disk and half plane. Using…

High Energy Physics - Theory · Physics 2017-08-16 Rong-Xin Miao , Chong-Sun Chu , Wu-Zhong Guo

The entanglement entropy of a pure quantum state of a bipartite system 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 Hamiltonians in one…

Strongly Correlated Electrons · Physics 2016-09-08 Eduardo Fradkin

When a quantum system is divided into subsystems, their entanglement entropies are subject to an inequality known as "strong subadditivity". For a field theory this inequality can be stated as follows: given any two regions of space $A$ and…

High Energy Physics - Theory · Physics 2008-11-26 Matthew Headrick , Tadashi Takayanagi

We compute the holographic entanglement entropy for the anomaly polynomial $\mathrm{Tr} R^2$ in 3+1 dimensions. Using the perturbative method developed for computing entanglement entropy for quantum field theories, we also compute the…

High Energy Physics - Theory · Physics 2017-03-31 Tibra Ali , S. Shajidul Haque , Jeff Murugan

Unlike the standard entanglement entropy considered in the holographic context, entwinement measures entanglement between degrees of freedom that are not associated to a spatial subregion. Entwinement is defined for two-dimensional CFTs…

High Energy Physics - Theory · Physics 2020-04-22 Johanna Erdmenger , Marius Gerbershagen

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…

High Energy Physics - Theory · Physics 2019-07-24 Elaheh Bakhshaei , Ahmad Shirzad

We derive a covariant expression for the renormalized holographic entanglement entropy for Conformal Field Theories (CFTs) dual to Quadratic Curvature Gravity in arbitrary dimensions. This expression is written as the sum of the bare…

High Energy Physics - Theory · Physics 2021-10-04 Giorgos Anastasiou , Ignacio J. Araya , Javier Moreno , Rodrigo Olea , David Rivera-Betancour

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…

High Energy Physics - Theory · Physics 2011-02-16 Samuel Bilson

We discuss two measures of entanglement in quantum field theory and their holographic realizations. For field theories admitting a global symmetry, we introduce a global symmetry entanglement entropy, associated with the partitioning of the…

High Energy Physics - Theory · Physics 2016-08-03 Marika Taylor

In this note, we use entanglement entropy as a tool to explore the universal properties of CFTs dual to extremal BTZ black holes. We demonstrate that the entanglement entropies computed in the CFTs at the boundary of the extremal BTZ and…

High Energy Physics - Theory · Physics 2014-02-26 Pawel Caputa , Vishnu Jejjala , Hesam Soltanpanahi

Reflected entropy is a newly proposed notion in quantum information. It has important implications in holography. In this work, we study the reflected entropy in the framework of the AdS$_3$/WCFT correspondence. We determine the scaling…

High Energy Physics - Theory · Physics 2022-12-21 Bin Chen , Yuefeng Liu , Boyang Yu

In this paper we study the holographic entanglement entropy in a large N noncommutative gauge field theory with two $\theta$ parameters by Ryu-Takayanagi prescription (RT-formula). We discuss what contributions the presence of…

High Energy Physics - Theory · Physics 2016-12-16 Tuo Jia , Zhaojie Xu

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…

High Energy Physics - Theory · Physics 2024-10-28 Pedro Vicente Marto , Umut Gürsoy , Guim Planella Planas

In this paper, we study the entanglement entropy in a large class of states of two-dimensional conformal field theory in the the large central charge limit. This class of states includes the states created by the insertion of a finite…

High Energy Physics - Theory · Physics 2016-09-21 Bin Chen , Jie-qiang Wu

Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective…

Strongly Correlated Electrons · Physics 2019-06-14 Yuting Hu , Yidun Wan

In this review we first introduce the general methods to calculate the entanglement entropy for free fields, within the Euclidean and the real time formalisms. Then we describe the particular examples which have been worked out explicitly…

High Energy Physics - Theory · Physics 2009-12-08 H. Casini , M. Huerta

Time-dependent entanglement entropy (EE) is computed for a single interval in two-dimensional conformal theories from a quenched initial state in the presence of spatial boundaries. The EE is found to be periodic in time with periodicity…

High Energy Physics - Theory · Physics 2016-04-28 Gautam Mandal , Ritam Sinha , Tomonori Ugajin

We study the applicability of the covariant holographic entanglement entropy proposal to asymptotically warped AdS$_3$ spacetimes with an SL(2,R) x U(1) isometry. We begin by applying the proposal to locally AdS$_3$ backgrounds which are…

High Energy Physics - Theory · Physics 2015-06-17 Dionysios Anninos , Joshua Samani , Edgar Shaghoulian

We derive a general relation between the ground state entanglement Hamiltonian and the physical stress tensor within the path integral formalism. For spherical entangling surfaces in a CFT, we reproduce the \emph{local} ground state…

High Energy Physics - Theory · Physics 2014-05-05 Gabriel Wong , Israel Klich , Leopoldo A. Pando Zayas , Diana Vaman
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