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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 develop a formalism for calculating the entanglement entropy of an arbitrary spatial region of a gravitating spacetime at a moment of time symmetry. The crucial ingredient is a path integral over embeddings of the region into the overall…

High Energy Physics - Theory · Physics 2024-01-12 Vijay Balasubramanian , Charlie Cummings

In order to study the pseudo entropy of time-like subregions holographically, the previous smooth space-like extremal surface was recently generalized to mix space-like and time-like segments and the area becomes complex value. This paper…

High Energy Physics - Theory · Physics 2023-04-06 Ze Li , Zi-Qing Xiao , Run-Qiu Yang

We study entanglement entropy for a class of states in quantum field theory that are entangled superpositions of coherent states with well-separated supports, analogous to Einstein-Podolsky-Rosen or Bell states. We calculate the…

High Energy Physics - Theory · Physics 2012-05-28 Curtis T. Asplund

Timelike entanglement entropy is a complex measure of information that is holographically realized by an appropriate combination of spacelike and timelike extremal surfaces. This measure is highly sensitive to Lorentz invariance breaking.…

High Energy Physics - Theory · Physics 2024-11-28 Mir Afrasiar , Jaydeep Kumar Basak , Dimitrios Giataganas

The entanglement entropy of various geometries is calculated for the boundary theory dual to a stack of N Dp-branes. The entanglement entropies are readily expressed in terms of the effective coupling at the appropriate energy scales. The…

High Energy Physics - Theory · Physics 2011-08-24 Anton van Niekerk

We check formally that the Hubeny-Rangamani-Takayanagi prescription for holographic entanglement entropy -- when applied to a static black brane spacetime and to a wide class of subregions that do not lie on a constant time slice -- gives…

High Energy Physics - Theory · Physics 2022-06-17 Tyler Guglielmo , Phuc Nguyen

In this article we investigate aspects of entanglement entropy and mutual information in a large-N strongly coupled noncommutative gauge theory, both at zero and at finite temperature. Using the gauge-gravity duality and the Ryu-Takayanagi…

High Energy Physics - Theory · Physics 2014-01-29 Willy Fischler , Arnab Kundu , Sandipan Kundu

We consider the holographic entanglement entropy of $(d+2)$-dimensional semi-local quantum liquids, for which the dual gravity background in the deep interior is $AdS_{2}\times\mathbb{R}^{d}$ multiplied by a warp factor which depends on the…

High Energy Physics - Theory · Physics 2015-06-17 Johanna Erdmenger , Da-Wei Pang , Hansjörg Zeller

We consider the entanglement entropy arising from edge-modes in Abelian $p$-form topological field theories in $d$ dimensions on arbitrary spatial topology and across arbitrary entangling surfaces. We find a series of descending area laws…

High Energy Physics - Theory · Physics 2024-10-08 Jackson R. Fliss , Stathis Vitouladitis

Using a holographic proposal for the entanglement entropy we study its behavior in various supergravity backgrounds. We are particularly interested in the possibility of using the entanglement entropy as way to detect transitions induced by…

High Energy Physics - Theory · Physics 2009-08-18 Ibrahima Bah , Alberto Faraggi , Leopoldo A. Pando Zayas , Cesar A. Terrero-Escalante

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…

High Energy Physics - Theory · Physics 2010-02-03 Dmitri V. Fursaev

It was shown in Dey and Roy (2012) that the near horizon limit of the 1/4 BPS threshold F-D$p$ (for $0\leq p \leq 5$, $p \neq 4$) bound state solutions of type II string theories give rise to space-time metrics endowed with Lifshitz scaling…

High Energy Physics - Theory · Physics 2015-06-11 Parijat Dey , Shibaji Roy

We review the developments in the past decade on holographic entanglement entropy, a subject that has garnered much attention owing to its potential to teach us about the emergence of spacetime in holography. We provide an introduction to…

High Energy Physics - Theory · Physics 2017-06-28 Mukund Rangamani , Tadashi Takayanagi

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…

High Energy Physics - Theory · Physics 2019-12-30 Tatsuma Nishioka

We consider situations where the renormalized geometric entropy, as defined by the AdS/CFT ansatz of Ryu and Takayanagi, shows extensive behavior in the volume of the entangled region. In general, any holographic geometry that is `capped'…

High Energy Physics - Theory · Physics 2014-11-18 Jose L. F. Barbon , Carlos A. Fuertes

We study the entanglement entropy in confining theories with gravity duals using the holographic prescription of Ryu and Takayanagi. The entanglement entropy between a region and its complement is proportional to the minimal area of a bulk…

High Energy Physics - Theory · Physics 2009-11-18 Ari Pakman , Andrei Parnachev

We present a simple derivation of the entanglement entropy for a region made up of a union of disjoint intervals in 1+1 dimensional quantum field theories using holographic techniques. This generalizes the results for 1+1 dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Veronika E. Hubeny , Mukund Rangamani

We compute a holographic entanglement entropy via Ryu--Takayanagi prescription in the three-dimensional Friedmann--Lema\^itre--Robertson--Walker universe. We consider two types of holographic scenarios analogous to the static patch…

High Energy Physics - Theory · Physics 2025-08-21 Toshifumi Noumi , Fumiya Sano , Yu-ki Suzuki

We propose that holographic entanglement entropy can be calculated at arbitrary orders in the bulk Planck constant using the concept of a "quantum extremal surface": a surface which extremizes the generalized entropy, i.e. the sum of area…

High Energy Physics - Theory · Physics 2015-10-27 Netta Engelhardt , Aron C. Wall