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We use the framework of $\textit{fixed-point BCFT tensor networks}$ to present a microscopic CFT derivation of the correspondence between reflected entropy (RE) and entanglement wedge cross section (EW) in AdS$_3$/CFT$_2$, for both…

High Energy Physics - Theory · Physics 2026-02-17 Ning Bao , Jinwei Chu , Yikun Jiang , Jacob March

We study the portion of an asymptotically Anti de Sitter geometry's bulk where the metric can be reconstructed, given the areas of minimal 2-surfaces anchored to a fixed boundary subregion. We exhibit situations in which this region can…

High Energy Physics - Theory · Physics 2020-04-10 Ning Bao , Aidan Chatwin-Davies , Benjamin E. Niehoff , Mykhaylo Usatyuk

In AdS/CFT, there can exist local 2-to-2 bulk scattering processes even when local scattering is not possible on the boundary; these have previously been studied in connection with boundary correlation functions. We show that boundary…

High Energy Physics - Theory · Physics 2020-09-02 Alex May , Geoff Penington , Jonathan Sorce

We propose a reconstruction of general bulk surfaces in any dimension in terms of the differential entropy in the boundary field theory. In particular, we extend the proof of Headrick et al. to calculate the area of a general class of…

High Energy Physics - Theory · Physics 2014-11-18 Bartlomiej Czech , Xi Dong , James Sully

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 bulk reconstructions in AdS/CFT and its cousins are essential to understand the holographic nature of quantum gravity. In this work, we try to study the bulk reconstruction in the AdS$_3$/WCFT$_2$ correspondence. After deriving the…

High Energy Physics - Theory · Physics 2019-10-30 Yu-han Lin , Bin Chen

We present a general procedure for constructing tensor networks for geometric states in the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence. Given a state in a large-$N$ CFT with a static, semiclassical gravitational dual,…

High Energy Physics - Theory · Physics 2019-02-28 Ning Bao , Geoffrey Penington , Jonathan Sorce , Aron C. Wall

In this work, we show the robustness of uberholography and its associated quantum error correcting code against the breakdown of entanglement wedge in the presence of highly entropic mixed states in the bulk. We show that for…

High Energy Physics - Theory · Physics 2024-10-01 Ning Bao , Joydeep Naskar

We present a deep neural network representation of the AdS/CFT correspondence, and demonstrate the emergence of the bulk metric function via the learning process for given data sets of response in boundary quantum field theories. The…

High Energy Physics - Theory · Physics 2018-09-12 Koji Hashimoto , Sotaro Sugishita , Akinori Tanaka , Akio Tomiya

We present a general procedure for constructing tensor networks that accurately reproduce holographic states in conformal field theories (CFTs). Given a state in a large-$N$ CFT with a static, semiclassical gravitational dual, we build a…

High Energy Physics - Theory · Physics 2019-12-05 Ning Bao , Geoffrey Penington , Jonathan Sorce , Aron C. Wall

It was proposed by Ryu and Takayanagi that the entanglement entropy in conformal field theory (CFT) is related through the AdS/CFT correspondence to the area of a minimal surface in the bulk. We apply this holographic geometrical method of…

High Energy Physics - Theory · Physics 2014-06-11 Pavel Krtous , Andrei Zelnikov

The entanglement wedge reconstruction paradigm in AdS/CFT states that for a bulk qudit within the entanglement wedge of a boundary subregion $\bar{A}$, operators acting on the bulk qudit can be reconstructed as CFT operators on $\bar{A}$.…

High Energy Physics - Theory · Physics 2024-08-16 Onkar Parrikar , Harshit Rajgadia , Vivek Singh , Jonathan Sorce

At the heart of recent progress in AdS/CFT is the question of subregion duality, or entanglement wedge reconstruction: which part(s) of the boundary CFT are dual to a given subregion of the bulk? This question can be answered by appealing…

High Energy Physics - Theory · Physics 2020-02-19 Chi-Fang Chen , Geoffrey Penington , Grant Salton

In the context of the AdS$_3$/CFT$_2$, the boundary causal development and the entanglement wedge of any boundary spacelike interval can be mapped to a thermal CFT$_2$ and a Rindler $\widetilde{\text{AdS}_3}$ respectively via certain…

High Energy Physics - Theory · Physics 2025-06-25 Qiang Wen , Mingshuai Xu , Haocheng Zhong

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

The entanglement wedge cross section in holographic picture provides a geometrical description of the entanglement for mixed states. In this paper we study the inequalities for the entanglement wedge cross section in AdS/BCFT duality. In…

High Energy Physics - Theory · Physics 2022-11-03 Pan Li , Yi Ling

In this paper, we show that the bulk reconstruction in the AdS/CFT correspondence is rather simple and has an intuitive picture, by showing that the HKLL bulk reconstruction formula can be simplified. We also reconstruct the wave packets in…

High Energy Physics - Theory · Physics 2022-07-21 Seiji Terashima

We introduce a novel interpretable Neural Network (NN) model designed to perform precision bulk reconstruction under the AdS/CFT correspondence. According to the correspondence, a specific condensed matter system on a ring is…

High Energy Physics - Theory · Physics 2024-11-26 Koji Hashimoto , Koshiro Matsuo , Masaki Murata , Gakuto Ogiwara , Daichi Takeda

Tensor networks provide a natural framework for exploring holographic duality because they obey entanglement area laws. They have been used to construct explicit toy models realizing many interesting structural features of the AdS/CFT…

High Energy Physics - Theory · Physics 2016-11-07 Patrick Hayden , Sepehr Nezami , Xiao-Liang Qi , Nathaniel Thomas , Michael Walter , Zhao Yang

It is well-known that the entanglement entropies for spacelike subregions, and the associated modular Hamiltonians play a crucial role in the bulk reconstruction program within Anti de-Sitter (AdS) holography. Explicit examples of HKLL map…

High Energy Physics - Theory · Physics 2024-03-12 Avijit Das , Shivrat Sachdeva , Debajyoti Sarkar