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The flat/CFT dictionary between the bulk gravitational theory and boundary conformal field theory is systematically developed in this paper. Asymptotically flat spacetime is built up by asymptotically AdS hyperboloid slices in terms of…

High Energy Physics - Theory · Physics 2024-04-02 Zezhuang Hao

Coordinated inference problems are being introduced as a basis for a neural network representation of the locality problem in the holographic bulk. It is argued that a type of problem originating in the "prisoners and hats" dilemma involves…

General Physics · Physics 2023-09-13 Andrei T. Patrascu

Holographic tensor networks model AdS/CFT, but so far they have been limited by involving only systems that are very different from gravity. Unfortunately, we cannot straightforwardly discretize gravity to incorporate it, because that would…

High Energy Physics - Theory · Physics 2024-11-12 Chris Akers , Ronak M. Soni , Annie Y. Wei

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 study criteria for and properties of boundary-to-boundary holography in a class of spin network states defined by analogy to projected entangled pair states (PEPS). In particular, we consider superpositions of states corresponding to…

Quantum Physics · Physics 2022-05-23 Simon Langenscheidt

In holographic CFTs satisfying eigenstate thermalization, there is a regime where the operator product expansion can be approximated by a random tensor network. The geometry of the tensor network corresponds to a spatial slice in the…

High Energy Physics - Theory · Physics 2023-05-31 Jeevan Chandra , Thomas Hartman

We extend our topological renormalization scheme for Entanglement Entropy to holographic CFTs of arbitrary odd dimensions in the context of the AdS/CFT correspondence. The procedure consists in adding the Chern form as a boundary term to…

High Energy Physics - Theory · Physics 2018-05-30 Giorgos Anastasiou , Ignacio J. Araya , Rodrigo Olea

The Ryu-Takayanagi (RT) formula is a crucial concept in current theory of gauge-gravity duality and emergent phenomena of geometry. Recent reinterpretation of this formula in terms of a set of "bit threads" is an interesting effort in…

High Energy Physics - Theory · Physics 2020-06-29 Chong-Bin Chen , Fu-Wen Shu , Meng-He Wu

The issue of holographic principle in the PP-wave limit of the AdS/CFT correspondence is discussed, in the hope of clarifying some confusions in the literature. We show that, in the plane-wave limit, the relation between the partition…

High Energy Physics - Theory · Physics 2008-11-26 Tamiaki Yoneya

We outline a holographic recipe to reconstruct $\alpha'$ corrections to AdS (quantum) gravity from an underlying CFT in the strictly planar limit ($N\rightarrow\infty$). Assuming that the boundary CFT can be solved in principle to all…

High Energy Physics - Theory · Physics 2017-11-01 Shubho R. Roy , Debajyoti Sarkar

Using holographic renormalization coupled with the Caffarelli/Silvestre\cite{caffarelli} extension theorem, we calculate the precise form of the boundary operator dual to a bulk scalar field rather than just its average value. We show that…

High Energy Physics - Theory · Physics 2017-04-24 Gabriele La Nave , Philip Phillips

In the long-standing quest to reconcile gravity with quantum mechanics, profound connections have been unveiled between concepts traditionally pertaining to quantum information theory, such as entanglement, and constitutive features of…

High Energy Physics - Theory · Physics 2022-06-28 Eugenia Colafranceschi , Gerardo Adesso

The Computable Cross Norm (CCNR) was recently discussed in Ref.~\cite{Yin:2022toc} as a measure of multipartite entanglement in a condensed matter context. In this short note, we point out that it is closely related to the $(2,n)$-R\'enyi…

High Energy Physics - Theory · Physics 2024-12-18 Alexey Milekhin , Pratik Rath , Wayne Weng

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 use TensorNetwork [C. Roberts et al., arXiv: 1905.01330], a recently developed API for performing tensor network contractions using accelerated backends such as TensorFlow, to implement an optimization algorithm for the Multi-scale…

Computational Physics · Physics 2019-07-01 Martin Ganahl , Ashley Milsted , Stefan Leichenauer , Jack Hidary , Guifre Vidal

We point out that the MERA network for the ground state of a 1+1-dimensional conformal field theory has the same structural features as kinematic space---the geometry of CFT intervals. In holographic theories kinematic space becomes…

High Energy Physics - Theory · Physics 2016-08-24 Bartlomiej Czech , Lampros Lamprou , Samuel McCandlish , James Sully

We study the contact terms that appear in the correlation functions of exactly marginal operators using the AdS/CFT correspondence. It is known that CFT with an exactly marginal deformation requires the existence of the contact terms with…

High Energy Physics - Theory · Physics 2020-10-14 Tadakatsu Sakai , Masashi Zenkai

We revisit the construction of local bulk operators in AdS/CFT with special focus on gravitational dressing and its consequences for bulk locality. Specializing to 2+1-dimensions, we investigate these issues via the proposed identification…

High Energy Physics - Theory · Physics 2017-02-01 Aitor Lewkowycz , Gustavo J. Turiaci , Herman Verlinde

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

This work explores holographic correlators within the frameworks of two-dimensional Boundary Conformal Field Theory (BCFT) and Crosscap Conformal Field Theory (XCFT). Utilizing the AdS/CFT correspondence, we compute stress tensor…

High Energy Physics - Theory · Physics 2025-03-13 Yun-Ze Li , Yunfei Xie , Song He
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