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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 study the $T\bar T$ deformation of boundary conformal field theories (BCFTs) from an intrinsic field-theoretic perspective. Formulating the deformation as a modification of the asymptotic variational principle in AdS$_3$, we obtain the…

高能物理 - 理论 · 物理学 2026-01-30 Feiyu Deng

In Conformal Field Theories with a gravitational AdS dual it is possible to calculate the entanglement entropy of a region $A$ holographically by using the Ryu-Takayanagi formula. In this work we consider systems that are in a pure state…

高能物理 - 理论 · 物理学 2015-07-06 Stefano Giusto , Rodolfo Russo

We reformulate entanglement wedge reconstruction in the language of operator-algebra quantum error correction with infinite-dimensional physical and code Hilbert spaces. Von Neumann algebras are used to characterize observables in a…

高能物理 - 理论 · 物理学 2023-02-09 Monica Jinwoo Kang , David K. Kolchmeyer

We investigate the holographic realization of topological operators for continuous non-Abelian symmetries in quantum field theories. As a concrete case study, we focus on Type IIB string theory on $AdS_5 \times S^5$ which admits an $SO(6)$…

高能物理 - 理论 · 物理学 2025-10-23 Ibrahima Bah , Federico Bonetti , Mufaro Chitoto , Enoch Leung

For spacetimes that are not asymptotic to anti-de Sitter Space (non AAdS), we adapt the Lewkowycz-Maldacena procedure to find the holographic entanglement entropy. The key observation, which to our knowledge is not very well appreciated, is…

高能物理 - 理论 · 物理学 2016-07-08 Wei Song , Qiang Wen , Jianfei Xu

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…

高能物理 - 理论 · 物理学 2011-08-24 Anton van Niekerk

We consider quantum entanglement between gauge fields in some region of space A and its complement B. It is argued that the Hilbert space of physical states of gauge theories cannot be decomposed into a direct product of Hilbert spaces of…

高能物理 - 理论 · 物理学 2010-05-12 P. V. Buividovich , M. I. Polikarpov

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…

高能物理 - 理论 · 物理学 2025-03-06 Samuel Bilson

We study minimal co-dimension-2 surfaces in the asymptotically flat background of extremal 3-brane solutions in ten-dimensional type IIB supergravity. A conjectured open-closed string duality combined with the Ryu-Takayanagi prescription…

高能物理 - 理论 · 物理学 2017-01-13 Vasilis Niarchos

We review boundary rigidity theorems assessing that, under appropriate conditions, Riemannian manifolds with the same spectrum of boundary geodesics are isometric. We show how to apply these theorems to the problem of reconstructing a $d+1$…

高能物理 - 理论 · 物理学 2009-11-10 M. Porrati , R. Rabadan

We identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy…

高能物理 - 理论 · 物理学 2015-06-22 Matthew Headrick , Veronika E. Hubeny , Albion Lawrence , Mukund Rangamani

We formulate an extension of Maldacena's AdS/CFT conjectures to the case of branes located at singular points in the ambient transverse space. For singularities which occur at finite distance in the moduli space of M or F theory models with…

高能物理 - 理论 · 物理学 2008-11-26 David R. Morrison , M. Ronen Plesser

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 propose an algorithm which builds a concrete dual for large-radius 3d de Sitter with a timelike York boundary for both gravity and bulk effective fields. This generalizes the solvable $T\bar T+\Lambda_2$ deformation, whose finite real…

高能物理 - 理论 · 物理学 2024-10-21 Gauri Batra , G. Bruno De Luca , Eva Silverstein , Gonzalo Torroba , Sungyeon Yang

In the context of the holographic duality, the entanglement entropy of ordinary QFT in a subregion in the boundary is given by a quarter of the area of an minimal surface embedded in the bulk spacetime. This rule has been also extended to a…

高能物理 - 理论 · 物理学 2020-08-26 Marcelo Botta-Cantcheff , Pedro J. Martinez , Juan F. Zarate

We analyze various aspects of the recently proposed holographic theories with general dynamical critical exponent z and hyperscaling violation exponent $\theta$. We first find the basic constraints on $z, \theta$ from the gravity side, and…

高能物理 - 理论 · 物理学 2012-07-03 Xi Dong , Sarah Harrison , Shamit Kachru , Gonzalo Torroba , Huajia Wang

In 2006, Ryu and Takayanagi (RT) pointed out that (with a suitable cutoff) the entanglement entropy between two complementary regions of an equal-time surface of a d+1-dimensional conformal field theory on the conformal boundary of…

高能物理 - 理论 · 物理学 2016-05-26 Bernard S. Kay

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…

高能物理 - 理论 · 物理学 2015-06-17 Johanna Erdmenger , Da-Wei Pang , Hansjörg Zeller

Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the…

高能物理 - 理论 · 物理学 2012-11-07 Ling-Yan Hung , Robert C. Myers , Michael Smolkin
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