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Related papers: Notes on flat-space limit of AdS/CFT

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The Poisson kernels and relations between them for a massive scalar field in a unit ball $B^n$ with Hua's metric and conformal flat metric are obtained by describing the $B^n$ as a submanifold of an $(n+1)$-dimensional embedding space.…

High Energy Physics - Theory · Physics 2007-05-23 Qi-Keng Lu , Zhe Chang , Han-Ying Guo

We introduce the AdS/CFT correspondence as a natural extension of QFT in a fixed AdS background. We start by reviewing some general concepts of CFT, including the embedding space formalism. We then consider QFT in a fixed AdS background and…

High Energy Physics - Theory · Physics 2016-12-21 Joao Penedones

We investigate recovery of the bulk S-matrix from the AdS/CFT correspondence, at large radius. It was recently argued that some of the elements of the S-matrix might be read from CFT correlators, given a particular singularity structure of…

High Energy Physics - Theory · Physics 2013-05-29 Michael Gary , Steven B. Giddings

We uncover surprising hidden simplicity in Mellin amplitudes for tree-level AdS holographic correlators for spinning operators, such as AdS "gluons" and "gravitons" (spin 1 and 2). We define Mellin amplitudes with $n$ spinning operators via…

High Energy Physics - Theory · Physics 2026-02-06 Song He , Xiang Li , Yuyu Mo , Dongyu Yang

Flat spacetimes are foliated by hyperbolic slices that are geometrically three-dimensional de Sitter or anti-de Sitter spaces. As such, it is possible to construct flat space holographic dualities by applying the AdS/CFT bulk-to-boundary…

High Energy Physics - Theory · Physics 2026-05-06 Walker Melton

Both celestial and momentum space amplitudes in four dimensions are beset by divergences resulting from spacetime translation and sometimes scale invariance. In this paper we consider a (linearized) marginal deformation of the celestial CFT…

High Energy Physics - Theory · Physics 2022-12-14 Eduardo Casali , Walker Melton , Andrew Strominger

We revisit the flat limit of AdS/CFT from the point of view of geodesics in AdS. We show that the flat space scattering amplitudes can be constructed from operator insertions where the geodesics of the particles corresponding to the…

High Energy Physics - Theory · Physics 2025-04-30 Sarthak Duary , Shivam Upadhyay

Two kinds of realizations of symmetry on classical domains or the Euclidean version of AdS space are used to study AdS/CFT correspondence. Mass of free particles is defined as an AdS group invariant, the Klein-Gordon and Dirac equations for…

High Energy Physics - Theory · Physics 2009-10-31 Zhe Chang , Han-Ying Guo

We present a study of the worldsheets that describe the classical limit of various string scattering processes. Our main focus is on string scattering in AdS spacetime because of its relation via the AdS/CFT correspondence to gluon…

High Energy Physics - Theory · Physics 2008-11-26 Charles M. Sommerfield , Charles B. Thorn

According to the Ryu-Takayanagi prescription, the entanglement entropy of subsystems in the boundary conformal field theory (CFT) is proportional to the area of extremal surfaces in bulk asymptotically Anti-de Sitter (AdS) spacetimes. The…

High Energy Physics - Theory · Physics 2020-09-16 Reza Fareghbal , Mehdi Hakami Shalamzari , Pedram Karimi

We consider a version of the $AdS_{d+1}/CFT_{d}$ correspondence, in which the bulk space is taken to be the quotient manifold $AdS_{d+1} /\Gamma$ with a fairly generic discrete group $\Gamma$ acting isometrically on $AdS_{d+1}$. We address…

High Energy Physics - Theory · Physics 2009-10-31 Yi-hong Gao

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with…

High Energy Physics - Theory · Physics 2019-08-21 Eliot Hijano

Identifying useful flat-space limits for cosmological correlators, where they can be expressed in terms of observables in Minkowski space is nontrivial due to their scale-invariant nature. In recent years, it has been shown that…

High Energy Physics - Theory · Physics 2025-11-06 Sebastian Cespedes , Sadra Jazayeri

Celestial holography provides a promising avenue to studying bulk scattering in flat spacetime from the perspective of boundary celestial conformal field theory (CCFT). A key ingredient in connecting the two sides is the celestial…

High Energy Physics - Theory · Physics 2022-10-26 Hongliang Jiang

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

The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at…

High Energy Physics - Phenomenology · Physics 2008-02-10 Stanley J. Brodsky , Guy F. de Teramond

We consider manifestly crossing symmetric dispersion relations for Mellin amplitudes of scalar four point correlators in conformal field theories (CFTs). This allows us to set up the non-perturbative Polyakov bootstrap for CFTs in Mellin…

High Energy Physics - Theory · Physics 2021-05-31 Rajesh Gopakumar , Aninda Sinha , Ahmadullah Zahed

We study the near-flat space limit for strings on AdS(5)xM(5), where the internal manifold M(5) is equipped with a generic metric with U(1)xU(1)xU(1) isometry. In the bosonic sector, the limiting sigma model is similar to the one found for…

High Energy Physics - Theory · Physics 2009-04-30 Sergio Benvenuti , Erik Tonni

We compute fluctuations in the modular energy of the vacuum associated with a Rindler-wedge in AdS spacetime in the context of AdS/CFT. We discuss the possible effect of these energy fluctuations on the spacetime geometry, and on the…

High Energy Physics - Theory · Physics 2021-10-22 Erik Verlinde , Kathryn M. Zurek

We argue that flat space amplitudes for the process $ 2 \to n$ gravitons at center of mass energies $\sqrt{s}$ much less than the Planck scale, will coincide approximately with amplitudes calculated from correlators of a boundary CFT for…

High Energy Physics - Theory · Physics 2017-04-11 Tom Banks , Willy Fischler