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Previous work has established an equality between the geodesic integral of a free bulk field in AdS and the contribution of the conformal descendants of its dual CFT primary operator to the OPE of two other operators inserted at the…

High Energy Physics - Theory · Physics 2017-01-05 Monica Guica

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

We investigate the nature of the AdS/CFT duality between a subregion of the bulk and its boundary. In global AdS/CFT in the classical G_N=0 limit, the duality reduces to a boundary value problem that can be solved by restricting to…

High Energy Physics - Theory · Physics 2013-12-18 Raphael Bousso , Ben Freivogel , Stefan Leichenauer , Vladimir Rosenhaus , Claire Zukowski

We establish a construction of the bulk local operators in AdS by considering CFT at finite energy scale. Without assuming any prior knowledge about the bulk, the normalizable solution to the bulk free field equation automatically appears…

High Energy Physics - Theory · Physics 2017-09-26 Zhao-Long Wang , Yi Yan

In this note, we discuss the bulk reconstruction of massless free fields in flat space from the highest-weight representation of boundary Carrollian conformal field theory (CCFT). We expand the bulk field as a sum of infinite descendants of…

High Energy Physics - Theory · Physics 2024-03-12 Bin Chen , Zezhou Hu

We construct smeared CFT operators which represent a scalar field in AdS interacting with gravity. The guiding principle is micro-causality: scalar fields should commute with themselves at spacelike separation. To O(1/N) we show that a…

High Energy Physics - Theory · Physics 2014-03-26 Daniel Kabat , Gilad Lifschytz

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 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

We consider quantum theory of fields \phi defined on a D dimensional manifold (bulk) with an interaction V(\phi) concentrated on a d<D dimensional surface (brane). Such a quantum field theory can be less singular than the one in d…

High Energy Physics - Theory · Physics 2008-11-26 Z. Haba

Boundary theories of static bulk topological phases of matter are obstructed in the sense that they cannot be realized on their own as isolated systems. The obstruction can be quantified/characterized by quantum anomalies, in particular…

Strongly Correlated Electrons · Physics 2021-11-03 Yuhan Liu , Hassan Shapourian , Paolo Glorioso , Shinsei Ryu

This paper studies a recently proposed relation between the emergence of bulk locality in AdS/CFT and the theory of quantum error correction. We show that if this relation is indeed realized in AdS/CFT, then bulk covariance is broken in the…

High Energy Physics - Theory · Physics 2015-10-16 Slava Emelyanov

We propose using smeared boundary states $e^{-\tau H}|\cal B\rangle$ as variational approximations to the ground state of a conformal field theory deformed by relevant bulk operators. This is motivated by recent studies of quantum quenches…

High Energy Physics - Theory · Physics 2017-08-15 John Cardy

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

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

We propose a family of exactly solvable toy models for the AdS/CFT correspondence based on a novel construction of quantum error-correcting codes with a tensor network structure. Our building block is a special type of tensor with maximal…

High Energy Physics - Theory · Physics 2015-07-23 Fernando Pastawski , Beni Yoshida , Daniel Harlow , John Preskill

Motivated by the theory of holographic quantum error correction in the anti-de Sitter/conformal field theory (AdS/CFT) correspondence, together with the kink transform conjecture on the bulk AdS description of boundary cocycle flow, we…

Operator Algebras · Mathematics 2024-12-03 Jason Crann , Monica Jinwoo Kang

Holographic quantum-error correcting codes are models of bulk/boundary dualities such as the anti-de Sitter/conformal field theory (AdS/CFT) correspondence, where a higher-dimensional bulk geometry is associated with the code's logical…

Quantum Physics · Physics 2023-11-14 Matthew Steinberg , Sebastian Feld , Alexander Jahn

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

In this work, a relation is found between state dependence of bulk observables in the gauge/gravity correspondence and nonperturbative diffeomorphism invariance. Certain bulk constraints, such as the black hole information paradox, appear…

High Energy Physics - Theory · Physics 2017-03-07 Daniel Louis Jafferis

Most of the literature in the \emph{bulk reconstruction program} in holography focuses on recovering local bulk operators propagating on a quasilocal bulk geometry and the knowledge of the bulk geometry is always assumed or guessed. The…

High Energy Physics - Theory · Physics 2018-10-01 Shubho R. Roy , Debajyoti Sarkar