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Related papers: Bulk reconstruction in rotating BTZ black hole

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The generic rotating BTZ black hole, obtained by identifications in AdS3 space through a discrete subgroup of its isometry group, is investigated within a Lie theoretical context. This space is found to admit a foliation by two-dimensional…

High Energy Physics - Theory · Physics 2009-11-10 P. Bieliavsky , S. Detournay , M. Herquet , M. Rooman , Ph. Spindel

We study bulk locality in a scalar effective field theory (EFT) in AdS background in presence of an end-of-the-world (EOW) brane. The holographic dual description is given in terms of a boundary conformal field theory (BCFT). We compute the…

High Energy Physics - Theory · Physics 2026-05-19 Pinaki Banerjee , Parijat Dey , Dipyendu Dhar

Recently, there has been much interest in black hole echoes, based on the idea that there may be some mechanism (e.g., from quantum gravity) that waves/fields falling into a black hole could partially reflect off of an interface before…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Conner Dailey , Niayesh Afshordi , Erik Schnetter

We study the formation, detection and coarse-graining of black holes in AdS/CFT, with an emphasis on the tension between boundary unitarity and the production of mixed state Hawking radiation in the bulk. We construct CFT states dual to…

High Energy Physics - Theory · Physics 2026-02-23 Jan de Boer , Jildou Hollander , Andrew Rolph

We propose a heuristic for the brick wall in AdS/CFT: the location where a boundary mode's local bulk energy reaches a (Planckian) UV cut-off. This accomplishes two things: (a) the brick wall is framed as a breakdown criterion for bulk…

High Energy Physics - Theory · Physics 2026-05-13 Vishal Gayari , Chethan Krishnan , Pradipta S. Pathak

For finding the numerical solution of operator equations in many applications a decomposition in subspaces is needed. Therefore, it is necessary to extend the known method of matrix representation to the utilization of fusion frames. In…

Functional Analysis · Mathematics 2020-07-14 Peter Balazs , Mitra Shamsabadi , Ali Akbar Arefijamaal , Chilles Gardon

We extend the recent proposal of Papadodimas and Raju of a CFT construction of operators inside the black hole interior to arbitrary non-maximally mixed states. Our construction builds on the general prescription given in earlier work,…

High Energy Physics - Theory · Physics 2013-11-19 Erik Verlinde , Herman Verlinde

Convolution is an efficient technique to obtain abstract feature representations using hierarchical layers in deep networks. Although performing convolution in Euclidean geometries is fairly straightforward, its extension to other…

Machine Learning · Computer Science 2019-01-04 Sameera Ramasinghe , Salman Khan , Nick Barnes

We provide a formula to reconstruct bulk spacetime metrics inside black holes by the time dependence of complexity in the dual quantum field theory, based on the complexity=volume (CV) conjecture in the holographic duality.

High Energy Physics - Theory · Physics 2021-10-13 Koji Hashimoto , Ryota Watanabe

Machine learning representations of many-body quantum states have recently been introduced as an ansatz to describe the ground states and unitary evolutions of many-body quantum systems. We explore one of the most important representations,…

Quantum Physics · Physics 2019-01-10 Zhih-Ahn Jia , Yuan-Hang Zhang , Yu-Chun Wu , Liang Kong , Guang-Can Guo , Guo-Ping Guo

In canonical quantum gravity, the presence of spatial boundaries naturally leads to a boundary quantum states, representing quantum boundary conditions for the bulk fields. As a consequence, quantum states of the bulk geometry needs to be…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Qian Chen , Etera R. Livine

We introduce a model of a noncommutative BTZ black hole, obtained by quantisation of Poincar\'e coordinates together with a moving frame. The fuzzy BTZ black hole carries a covariant differential calculus, satisfies Einstein's equations and…

High Energy Physics - Theory · Physics 2023-01-04 Ilija Buric , Maja Buric

We consider the behaviour of a quantum scalar field on three-dimensional Euclidean backgrounds: Anti-de Sitter space, the regular BTZ black hole instanton and the BTZ instanton with a conical singularity at the horizon. The corresponding…

High Energy Physics - Theory · Physics 2016-08-24 Robert B. Mann , Sergey N. Solodukhin

We develop a holographic framework for describing the experience of bulk observers in AdS/CFT, that allows us to compute the proper time and energy distribution measured along any bulk worldline. Our method is formulated directly in the CFT…

High Energy Physics - Theory · Physics 2021-09-01 Daniel Louis Jafferis , Lampros Lamprou

We revisit and extend the construction of bulk local states in flat holography, focusing on the induced representation obtained from the flat limit of the AdS highest-weight conditions. In three dimensions we clarify the scaling mismatch…

High Energy Physics - Theory · Physics 2026-04-06 Peng-Xiang Hao , Kotaro Shinmyo , Yu-ki Suzuki , Shunta Takahashi

The analogue of the charge-conjugation modular invariant for rational logarithmic conformal field theories is constructed. This is done by reconstructing the bulk spectrum from a simple boundary condition (the analogue of the Cardy…

High Energy Physics - Theory · Physics 2008-05-01 Matthias R. Gaberdiel , Ingo Runkel

We introduce a tensor network designed to faithfully simulate the AdS/CFT correspondence, akin to the multi-scale entanglement renormalization ansatz (MERA), following hyper-invariant tensor network. The proposed construction integrates…

Quantum Physics · Physics 2025-01-13 Rafał Bistroń , Mykhailo Hontarenko , Karol Życzkowski

The localized radial symmetric function, or blob, is an ideal alternative to the pixel basis for X-ray computed tomography (CT) image reconstruction. In this paper we develop image representation models using blob, and propose…

Numerical Analysis · Computer Science 2011-08-02 Han Wang , Laurent Desbat , Samuel Legoupil

We consider the AdS_2/CFT_1 holographic correspondence near the horizon of big four-dimensional black holes preserving four supersymmetries in toroidally compactified Type-II string theory. The boundary partition function of CFT_1 is given…

High Energy Physics - Theory · Physics 2013-02-20 Atish Dabholkar , Joao Gomes , Sameer Murthy

Quantum renormalization group scheme provides a microscopic understanding of holography through a general mapping between the beta functions of underlying quantum field theories and the holographic actions in the bulk. We show that the…

High Energy Physics - Theory · Physics 2014-01-22 Sung-Sik Lee