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We explore the reconstruction of bulk local states in three-dimensional flat spacetime (Flat$_3$) using states from two-dimensional Carrollian conformal field theories (CCFT$_2$), proposed as dual field theories in one lower dimension. For…

High Energy Physics - Theory · Physics 2026-03-16 Peng-Xiang Hao , Kotaro Shinmyo , Yu-ki Suzuki , Shunta Takahashi , Tadashi Takayanagi

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

The flat space limit of scalar bulk fields in AdS is discussed within a Lorentzian canonical quantization setup tailored to describe AdS state preparation and to extract the flat S-matrix dynamics. We discuss how the algebraic…

High Energy Physics - Theory · Physics 2025-12-22 David Berenstein , Joan Simon

We revisit the reconstruction of a free quantum field in 4-dimensional Lorentzian Anti-de-Sitter (AdS$_4$) spacetime in terms of primary operators in the boundary 3d CFT (CFT$_3$). We show that the positive and negative energy subspaces of…

High Energy Physics - Theory · Physics 2026-05-19 Núria Navarro , Ana-Maria Raclariu

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

The problem of constructing local bulk observables from boundary CFT data is of paramount importance in holography. In this work, we begin addressing this question from a modern bootstrap perspective. Our main tool is the boundary operator…

High Energy Physics - Theory · Physics 2023-11-17 Nat Levine , Miguel F. Paulos

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp…

High Energy Physics - Theory · Physics 2021-12-08 Simon Caron-Huot , Dalimil Mazac , Leonardo Rastelli , David Simmons-Duffin

We present a new method for reconstructing CFT duals of states excited by the bulk local operators in the three dimensional AdS black holes in the AdS/CFT context. As an important procedure for this, we introduce a map between the bulk…

High Energy Physics - Theory · Physics 2017-11-22 Kanato Goto , Tadashi Takayanagi

The bulk reconstructions in AdS/CFT and its cousins are essential to understand the holographic nature of quantum gravity. In this work, we try to study the bulk reconstruction in the AdS$_3$/WCFT$_2$ correspondence. After deriving the…

High Energy Physics - Theory · Physics 2019-10-30 Yu-han Lin , Bin Chen

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 discuss various aspects of HKLL bulk reconstruction for the free scalar field in AdS$_{d+1}$. First, we consider the spacelike reconstruction kernel for the non-normalizable mode in global coordinates. We construct it as a mode sum. In…

High Energy Physics - Theory · Physics 2022-12-28 Budhaditya Bhattacharjee , Chethan Krishnan , Debajyoti Sarkar

In this paper we construct CFT states describing a putative holographic dual to local excitations in the three-dimensional de Sitter space (dS), called the bulk local states. We find that the conjugation operation in dS$_3/$CFT$_2$ is…

High Energy Physics - Theory · Physics 2025-08-04 Kazuki Doi , Naoki Ogawa , Kotaro Shinmyo , Yu-ki Suzuki , Tadashi Takayanagi

The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length.…

High Energy Physics - Theory · Physics 2009-11-13 Idse Heemskerk , Joao Penedones , Joseph Polchinski , James Sully

In earlier papers a method was given for constructing from first principles a holographic bulk dual action in Euclidean AdS space for a Euclidean CFT on the boundary. The starting point was an Exact RG for the boundary theory. The bulk…

High Energy Physics - Theory · Physics 2025-08-11 B. Sathiapalan

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

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 establish resolution bounds on reconstructing a bulk field from boundary data on a timelike hypersurface. If the bulk only supports propagating modes, reconstruction is complete. If the bulk also supports evanescent modes, local…

High Energy Physics - Theory · Physics 2015-06-19 Soo-Jong Rey , Vladimir Rosenhaus

The AdS/CFT correspondence states an equivalence between a quantum gravitational theory in a (d+1)-dimensional anti-de Sitter spacetime (AdS$_{d+1}$) and a d-dimensional conformal field theory (CFT$_{d}$). The CFT$_{d}$ lives on the…

High Energy Physics - Theory · Physics 2025-12-23 Hao Geng , Daniel Jafferis , Pushkal Shrivastava , Neeraj Tata

We construct both local states and scattering states with finite energy in global AdS by inserting properly regularized operators in the CFT of arbitrary conformal dimension $(\Delta)$ at an instant of time. We give the state fixed angular…

High Energy Physics - Theory · Physics 2020-02-26 David Berenstein , Joan Simon

Within AdS/CFT, focusing on the AdS-Rindler wedge, we show that when $N$ is large but finite, correlation functions of reconstructed bulk operators grow exponentially with bulk momentum, overwhelming the usual $1/N$ suppression. The growth…

High Energy Physics - Theory · Physics 2025-08-18 Seiji Terashima
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