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Related papers: Bulk-boundary correspondence from hyper-invariant …

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A consistent QM/NCG duality is put forward as a model for the AdS^2/CFT_1 correspondence. This is a duality/correspondence between 1) the dAFF conformal quantum mechanics (QM) on the boundary (which is only "quasi-conformal" in the sense…

High Energy Physics - Theory · Physics 2022-06-22 Badis Ydri

We use renormalization group methods to study composite operators existing at a boundary of an interacting conformal field theory. In particular we relate the data on boundary operators to short-distance (near-boundary) divergences of bulk…

High Energy Physics - Theory · Physics 2020-04-22 Vladimír Procházka , Alexander Söderberg

In order to understand a boundary description of Hawking radiation in the AdS/CFT correspondence, we investigate the trace anomaly method in AdS$_2$ space. In this method, Hawking radiation is derived from the trace anomaly of the…

High Energy Physics - Theory · Physics 2009-02-05 Takeshi Morita

The holographic correspondence predicts that certain strongly coupled quantum systems describe an emergent, higher-dimensional bulk spacetime in which excitations enjoy local dynamics. We consider a general holographic state dual to an…

High Energy Physics - Theory · Physics 2025-02-24 Simon Caron-Huot , Joydeep Chakravarty , Keivan Namjou

This paper investigates the connection between braid group representations, defect operators, and holography within the AdS/CFT framework. It focuses on the correspondence between bulk Wilson loops and boundary defect operators, emphasizing…

High Energy Physics - Theory · Physics 2025-05-23 Tzu-Miao Chou

We extend the holographic duality between 3d pure gravity and the 2d Ising CFT proposed in [Phys. Rev. D 85 (2012) 024032] to CFTs with boundaries. Besides the usual asymptotic boundary, the dual bulk spacetime now has a real cutoff, on…

High Energy Physics - Theory · Physics 2021-06-08 Andreas Karch , Zhu-Xi Luo , Hao-Yu Sun

Continuous tensor networks are variational wavefunctions proposed in recent years to efficiently simulate quantum field theories (QFTs). Prominent examples include the continuous matrix product state (cMPS) and the continuous multi-scale…

Strongly Correlated Electrons · Physics 2019-06-12 Yijian Zou , Martin Ganahl , Guifre Vidal

We study three-point correlation functions of scalar operators in conformal field theories with boundaries and interfaces. We focus on two cases where there are one bulk and two boundary operators (B$\partial\partial$), or two bulk and one…

High Energy Physics - Theory · Physics 2023-09-27 Junding Chen , Xinan Zhou

The strong form of the AdS/CFT correspondence implies that the leading $N$ expressions for the connected correlation functions of the gauge invariant operators in the free ${\cal N}=4$ supersymmetric Yang-Mills theory with the gauge group…

High Energy Physics - Theory · Physics 2007-05-23 Andrei Mikhailov

We discuss the relationship between the bulk-boundary correspondence in Rehren's algebraic holography (and in other 'fixed-background' approaches to holography) and in mainstream 'Maldacena AdS/CFT'. Especially, we contrast the…

High Energy Physics - Theory · Physics 2015-04-06 Bernard S. Kay , L. Ortiz

We continue the studies of our earlier proposal for an AdS/CFT correspondence for time-dependent supergravity backgrounds. We note that by performing a suitable change of variables, the dual super Yang-Mills theory lives on a flat base…

High Energy Physics - Theory · Physics 2009-05-20 Chong-Sun Chu , Pei-Ming Ho

The bulk-boundary correspondence is a hallmark feature of topological phases of matter. Nonetheless, our understanding of the correspondence remains incomplete for phases with intrinsic topological order, and is nearly entirely lacking for…

Strongly Correlated Electrons · Physics 2023-12-11 Thomas Schuster , Nathanan Tantivasadakarn , Ashvin Vishwanath , Norman Y. Yao

Bilocal holography is a constructive approach to the higher spin theory holographically dual to $O(N)$ vector models. In contrast to other approaches to bulk reconstruction, bilocal holography does not take input from the dual gravitational…

High Energy Physics - Theory · Physics 2021-12-08 Robert de Mello Koch , Eunice Gandote , Nirina Hasina Tahiridimbisoa , Hendrik J. R. Van Zyl

Holographic CFTs admit a dual emergent description in terms of semiclassical general relativity minimally coupled to matter fields. While the gravitational interactions are required to be suppressed by the Planck scale, the matter sector is…

High Energy Physics - Theory · Physics 2025-12-03 Luis Apolo , Alexandre Belin , Suzanne Bintanja

The AdS/CFT correspondence is an explicit realization of the holographic principle relating a theory of gravity in a volume of space to a lower dimensional quantum field theory on its boundary. By exploiting elements of quantum error…

High Energy Physics - Theory · Physics 2024-01-03 Vic Vander Linden

Bit threads, a dual description of the Ryu-Takyanagi formula for holographic entanglement entropy (EE), can be interpreted as a distillation of the quantum information to a collection of Bell pairs between different boundary regions. In…

High Energy Physics - Theory · Physics 2022-10-19 Jonathan Harper

The bulk-boundary correspondence, a topic of intensive research interest over the past decades, is one of the quintessential ideas in the physics of topological quantum matter. Nevertheless, it has not been proven in all generality and has…

Strongly Correlated Electrons · Physics 2018-03-23 Jun-Won Rhim , Jens H. Bardarson , Robert-Jan Slager

A puzzling aspect of the AdS/CFT correspondence is that a single bulk operator can be mapped to multiple different boundary operators, or precursors. By improving upon a recent model of Mintun, Polchinski, and Rosenhaus, we demonstrate…

High Energy Physics - Theory · Physics 2016-05-25 Ben Freivogel , Robert A. Jefferson , Laurens Kabir

We revisit entanglement wedge reconstruction in AdS/CFT using the Petz recovery channel. In the case of a spherical region on the boundary, we show that the Petz map reproduces the AdS-Rindler HKLL reconstruction. Moreover, for a generic…

High Energy Physics - Theory · Physics 2023-07-06 Eyoab Bahiru , Niloofar Vardian

This paper presents an extension of Correspondence Analysis (CA) to tensors through High Order Singular Value Decomposition (HOSVD) from a geometric viewpoint. Correspondence analysis is a well-known tool, developed from principal component…

Numerical Analysis · Mathematics 2021-11-09 Olivier Coulaud , Alain Franc , Martina Iannacito