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We study holography for asymptotically AdS spaces with an arbitrary genus compact Riemann surface as the conformal boundary. Such spaces can be constructed from the Euclidean AdS_3 by discrete identifications; the discrete groups one uses…

High Energy Physics - Theory · Physics 2007-05-23 Kirill Krasnov

Holographic quantum error-correcting code, the quantum-information structure hypothesized for the AdS/CFT correspondence, has being attracting increasing attention in new directions interrelating the studies of quantum gravity and quantum…

Quantum Physics · Physics 2024-07-16 Wei Wang

In holography there is a one-to-one correspondence between physical observables in the bulk and boundary theories. To define physical observables, however, regularisation needs to be implemented in both sides of the correspondence. It is…

High Energy Physics - Theory · Physics 2017-08-04 Shinji Hirano

We consider holographic entanglement entropy in AdS black hole backgrounds by using the limit of large number of dimensions. By dividing the geometry to two patches (with one patch covering the vicinity of the black hole horizon and another…

High Energy Physics - Theory · Physics 2026-03-27 Parul Jain , Matti Järvinen

In this paper we investigate the code properties of holographic fractal geometries initiated in \cite{Pastawski:2016qrs}. We study reconstruction wedges in $AdS_3/CFT_2$ for black hole backgrounds, which are in qualitative agreement with…

High Energy Physics - Theory · Physics 2025-01-30 Abhik Bhattacharjee , Joydeep Naskar

We advance a holographic conjecture for the entanglement negativity of bipartite quantum states in $(1+1)$-dimensional conformal field theories in the $AdS_3/CFT_2$ framework. Our conjecture exactly reproduces the replica technique results…

High Energy Physics - Theory · Physics 2018-06-06 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta

We examine holographic entanglement entropy with higher curvature gravity in the bulk. We show that in general Wald's formula for horizon entropy does not yield the correct entanglement entropy. However, for Lovelock gravity, there is an…

High Energy Physics - Theory · Physics 2011-06-01 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

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

In holographic duality, a higher dimensional quantum gravity system emerges from a lower dimensional conformal field theory (CFT) with a large number of degrees of freedom. We propose a formulation of duality for a general causally complete…

High Energy Physics - Theory · Physics 2024-11-15 Samuel Leutheusser , Hong Liu

Entanglement entropy of holographic CFTs is expected to play a crucial role in the reconstruction of semiclassical bulk gravity. We consider the entanglement entropy of spherical regions of vacuum, which is known to contain universal…

High Energy Physics - Theory · Physics 2015-11-10 Felix M. Haehl

Topological holography is a holographic principle that describes the generalized global symmetry of a local quantum system in terms of a topological order in one higher dimension. This framework separates the topological data from the local…

Strongly Correlated Electrons · Physics 2025-07-02 Sheng-Jie Huang , Meng Cheng

We propose a new duality relation between codimension two space-like surfaces in gravitational theories and quantum states in dual Hilbert spaces. This surface/state correspondence largely generalizes the idea of holography such that we do…

High Energy Physics - Theory · Physics 2015-07-15 Masamichi Miyaji , Tadashi Takayanagi

We find, in the AdS/CFT, a source on the boundary which generates one wave packet drawing a null geodesic inside the bulk. Once such a wave packet dives into the bulk, it comes back to the boundary after a specific time, at which the…

High Energy Physics - Theory · Physics 2023-04-05 Shunichiro Kinoshita , Keiju Murata , Daichi Takeda

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

A lensless digital holography enables wide-field microscopic imaging without the limitations imposed by optical lens performance. However, conventional holographic imaging often relies on magnifying optical systems to compensate for the low…

Optics · Physics 2025-06-24 Byung Gyu Chae

Holographic bounds have been derived using explicitly gravitational arguments. Motivated by explicit constructions of bulk wavepackets from observables in the boundary CFT, we derive a holographic bound in the context of the gauge/gravity…

High Energy Physics - Theory · Physics 2012-09-17 Michael Gary

In a theory of quantum gravity, states can be represented as wavefunctionals that assign an amplitude to a given configuration of matter fields and the metric on a spatial slice. These wavefunctionals must obey a set of constraints as a…

High Energy Physics - Theory · Physics 2022-03-23 Chandramouli Chowdhury , Victor Godet , Olga Papadoulaki , Suvrat Raju

The volume inside a Ryu-Takayanagi surface has been conjectured to be related to the complexity of subregions of the boundary field theory. Here, we study the behaviour of this volume analytically, when the entangling surface has a strip…

High Energy Physics - Theory · Physics 2017-08-02 Pratim Roy , Tapobrata Sarkar

When a black hole forms from collapse in a holographic theory, the information in the black hole interior remains encoded in the boundary. We prove that the area of the black hole's apparent horizon is precisely the entropy associated to…

High Energy Physics - Theory · Physics 2019-07-05 Netta Engelhardt , Aron C. Wall

One of the most exciting things in recent theoretical physics is the suspicion that gravity may be holographic, dual to some sort of quantum field theory living on the boundary with one less dimension. Such a suspicion has been supported…

High Energy Physics - Theory · Physics 2013-05-24 Yu Tian , Xiao-Ning Wu , Hongbao Zhang