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Scattering amplitudes in gauge theories can be calculated either by bulk theories in 4d Minkowski space-time($Mink_4$), or perceived as the correlation functions in celestial CFT(CCFT) living in the celestial sphere at null infinity, where…

High Energy Physics - Theory · Physics 2024-02-23 Ming Yu

We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin $s=\{0,\frac{1}{2},1,\frac{3}{2},2\}$ we classify and construct all SL(2,$\mathbb{C}$) primary…

High Energy Physics - Theory · Physics 2021-11-24 Sabrina Pasterski , Andrea Puhm , Emilio Trevisani

We study a novel asymptotic limit of massive scalar fields in nongravitational quantum field theories in four-dimensional flat space. We foliate the spacetime into a set of dS$_3$ slices that are spacelike to, and at a constant proper…

High Energy Physics - Theory · Physics 2022-07-14 Alok Laddha , Siddharth G. Prabhu , Suvrat Raju , Pushkal Shrivastava

Soft-operators, loosely speaking, are operators which create or annihilate zero energy massless particles on the celestial sphere in Minkowski space. The Lorentz group acts on the celestial sphere by conformal transformation and the…

High Energy Physics - Theory · Physics 2020-05-20 Shamik Banerjee , Pranjal Pandey , Partha Paul

The soft limits of scattering amplitudes have been extensively studied due to their essential role in the computation of physical observables in collider physics. The universal factorisation that occurs in these kinematic limits has been…

High Energy Physics - Theory · Physics 2022-12-14 Tristan McLoughlin , Andrea Puhm , Ana-Maria Raclariu

We show that two- and three-point celestial (C)CFT$_{d-1}$ amplitudes can be directly obtained from correlation functions in a unitary Lorentzian CFT$_d$ on $\mathbb{R}\times S^{d-1}$. The recipe involves a rescaling of the operators,…

High Energy Physics - Theory · Physics 2024-05-14 Leonardo Pipolo de Gioia , Ana-Maria Raclariu

The issue of holographic mapping between bulk and boundary in the plane-wave limit of AdS/SYM correspondence is reexamined from the viewpoint of correlation functions. We first study the limit of large angular momentum for the so-called…

High Energy Physics - Theory · Physics 2016-09-06 S. Dobashi , T. Yoneya

The bulk reconstruction formula for a Euclidean anti-de Sitter space is directly related to the inverse of the Gel'fand-Graev-Radon transform. Correlation functions of a conformal scalar field theory in the boundary are thereby related to…

High Energy Physics - Theory · Physics 2017-11-22 Samrat Bhowmick , Koushik Ray , Siddhartha Sen

We probe the contraction from $2d$ relativistic CFTs to theories with Bondi-Metzner-Sachs (BMS) symmetries, or equivalently Conformal Carroll symmetries, using diagnostics of quantum chaos. Starting from an Ultrarelativistic limit on a…

High Energy Physics - Theory · Physics 2023-01-04 Aritra Banerjee , Arpan Bhattacharyya , Priya Drashni , Srinidhi Pawar

We present the first computation of three-point celestial amplitudes in Minkowski space of massless scalars, photons, gluons, and gravitons. Such amplitudes were previously considered to be zero in the literature because the corresponding…

High Energy Physics - Theory · Physics 2023-07-12 Chi-Ming Chang , Wen-Jie Ma

We develop a systematic unitarity method for loop-level AdS scattering amplitudes, dual to non-planar CFT correlators, from both bulk and boundary perspectives. We identify cut operators acting on bulk amplitudes that put virtual lines on…

High Energy Physics - Theory · Physics 2020-04-22 David Meltzer , Eric Perlmutter , Allic Sivaramakrishnan

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 give a procedure for deriving certain bulk S-matrix elements from corresponding boundary correlators. These are computed in the plane wave limit, via an explicit construction of certain boundary sources that give bulk wavepackets. A…

High Energy Physics - Theory · Physics 2009-11-06 Michael Gary , Steven B. Giddings , Joao Penedones

We consider density-density correlations in the one-dimensional Hubbard model at half filling. On intuitive grounds one might expect them to exhibit an exponential decay. However, as has been noted recently, this is not obvious from the…

Strongly Correlated Electrons · Physics 2009-10-31 Fabian H. L. Essler , Holger Frahm

It was recently argued that string theory on ${\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4$ with one unit ($k=1$) of NS-NS flux is exactly dual to the symmetric orbifold CFT ${\rm Sym}^N(\mathbb{T}^4)$. In this paper we show how to…

High Energy Physics - Theory · Physics 2020-04-07 Lorenz Eberhardt , Matthias R. Gaberdiel , Rajesh Gopakumar

It has been suggested that a $dS_{d+1}$ spacetime of radius $R_{ds}$ has a holographic dual, living at future space-like infinity ${\cal I}^+$, with the bulk wave function being dual to the partition function of the boundary theory,…

High Energy Physics - Theory · Physics 2025-05-27 Indranil Dey , Kanhu Kishore Nanda , Akashdeep Roy , Sandip P. Trivedi

As a toy model to search for Hamiltonian formalism of the $AdS/CFT$ correspondence, we examine a Hamiltonian formulation of the $AdS_2/CFT_1$ correspondence emphasizing unitary representation theory of the symmetry. In the course of a…

High Energy Physics - Theory · Physics 2009-10-31 Toshio Nakatsu , Naoto Yokoi

Holography implies scattering in the bulk can be mediated by entanglement on the boundary. The connected wedge theorem (CWT) of May, Penington, and Sorce is a concrete example where bulk scattering implies correlation between certain…

High Energy Physics - Theory · Physics 2025-10-01 Caroline Lima , Sabrina Pasterski , Chris Waddell

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

We derive the GKP-Witten relation in terms of correlation functions by symmetry without referring to a Lagrangian or the large $N$ expansion. By constructing bulk operators from boundary operators in conformal field theory (CFT) by the…

High Energy Physics - Theory · Physics 2024-12-10 Sinya Aoki , Janos Balog , Kengo Shimada