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Related papers: AdS/CFT for Four-Point Amplitudes involving Gravit…

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The graviton exchange diagram for the correlation function of arbitrary scalar operators is evaluated in anti-de Sitter space, AdS(d+1). This enables us to complete the computation of the 4-point amplitudes of dilaton and axion fields in…

High Energy Physics - Theory · Physics 2010-04-06 Eric D'Hoker , Daniel Z. Freedman , Samir D. Mathur , Alec Matusis , Leonardo Rastelli

We study four-point functions of spinning operators in the flavor current multiplet in four dimensional $\mathcal{N}=2$ SCFTs, using superspace techniques. In particular we explicitly construct the differential operators relating the…

High Energy Physics - Theory · Physics 2023-01-26 Agnese Bissi , Giulia Fardelli , Andrea Manenti , Xinan Zhou

We study the exchange diagrams in the computation of four-point functions of all chiral primary operators in D=4, $\mathcal{N}=4$ Super-Yang-Mills using AdS/CFT correspondence. We identify all supergravity fields that can be exchanged and…

High Energy Physics - Theory · Physics 2017-09-07 Sangmin Lee

A new method is discussed which vastly simplifies one of the two integrals over AdS(d+1) required to compute exchange graphs for 4-point functions of scalars in the AdS/CFT correspondence. The explicit form of the bulk-to-bulk propagator is…

High Energy Physics - Theory · Physics 2009-10-08 Eric D'Hoker , Daniel Z. Freedman , Leonardo Rastelli

We report the differential representation of three-point and four-point amplitudes for Yang-Mills fields and Einstein gravity in AdS at tree-level. The amplitudes exhibit the flat-space structures by using the weight-shifting operators with…

High Energy Physics - Theory · Physics 2023-06-28 Yue-Zhou Li

The spectrum of half-BPS single-particle operators of the D1-D5 system in the supergravity regime is dual to the spectrum of Kaluza-Klein modes of tensor and graviton multiplets in AdS$_3\times$S$^3$. We present simple formulae for all…

High Energy Physics - Theory · Physics 2025-10-21 F. Aprile , C. Behan , R. S. Pitombo , M. Santagata

We present a double copy relation in AdS$_5$ which relates tree-level four-point amplitudes of supergravity, super Yang-Mills and bi-adjoint scalars.

High Energy Physics - Theory · Physics 2021-10-04 Xinan Zhou

We propose studying a new representation of on-shell Anti de Sitter (AdS) amplitude in Mellin Momentum space, where it encodes all the dynamical information in Cosmological Correlators. At tree level, we demonstrate that this amplitude has…

High Energy Physics - Theory · Physics 2024-04-16 Jiajie Mei

We develop a formalism to evaluate generic scalar exchange diagrams in AdS_{d+1} relevant for the calculation of four-point functions in AdS/CFT correspondence. The result may be written as an infinite power series of functions of…

High Energy Physics - Theory · Physics 2016-08-25 Hong Liu

The scalar field exchange diagram for the correlation function of four scalar operators is evaluated in anti-de Sitter space, $AdS_{d+1}$. The conformal dimensions $\Delta_i$, $i=1,...,4$ of the scalar operators and the dimension $\Delta$…

High Energy Physics - Theory · Physics 2008-11-26 Eric D'Hoker , Daniel Z. Freedman

We study non-planar correlators in ${\cal N}=4$ super-Yang-Mills in Mellin space. We focus in the stress tensor four-point correlator to order $1/N^4$ and in a strong coupling expansion. This can be regarded as the genus-one four-point…

High Energy Physics - Theory · Physics 2019-01-01 Luis F. Alday

We discuss the properties of four-point functions in the context of the correspondence between a classical supergravity theory in the bulk of the Anti de Sitter space and quantum conformal field theory at the boundary. The contribution to a…

High Energy Physics - Theory · Physics 2009-09-17 Hong Liu , A. A. Tseytlin

We analyse the leading logarithmic singularities in direct and crossed channel limit of the four-point functions in dilaton-axion sector of type IIB supergravity on $AdS_{5}$ in AdS/CFT correspondence. Logarithms do not cancel in the full…

High Energy Physics - Theory · Physics 2014-11-18 Sanjay

Using the AdS/CFT correspondence, we study the high-energy behavior of scattering amplitudes in N=4 SYM gauge theory for dipole-dipole soft elastic scattering, described in the Wilson-loop correlator formalism. The amplitudes are evaluated…

High Energy Physics - Phenomenology · Physics 2010-09-16 Matteo Giordano

We present a systematic study of holographic correlators in a vast array of SCFTs with non-maximal superconformal symmetry. These theories include 4d $\mathcal{N}=2$ SCFTs from D3-branes near F-theory singularities, 5d Seiberg exceptional…

High Energy Physics - Theory · Physics 2021-10-20 Luis F. Alday , Connor Behan , Pietro Ferrero , Xinan Zhou

Recently we conjectured the four-point amplitude of graviton multiplets in ${\rm AdS}_5 \times {\rm S}^5$ at one loop by exploiting the operator product expansion of $\mathcal{N}=4$ super Yang-Mills theory. Here we give the first extension…

High Energy Physics - Theory · Physics 2018-06-13 F. Aprile , J. M. Drummond , P. Heslop , H. Paul

Extremal cubic couplings in AdS relate bulk fields such that $\Delta_i+\Delta_j=\Delta_k$. Such couplings lead to divergent 3-point Witten diagrams, and do not occur in theories with maximal supersymmetry. We consider the simplest theories…

High Energy Physics - Theory · Physics 2025-07-02 Shai M. Chester , Rishi Mouland , Jesse van Muiden

We propose a systematic procedure for obtaining all single trace 1/2-BPS correlators in N=4 super Yang-Mills corresponding to the four-point tree-level amplitude for type IIB string theory in AdS5xS5. The underlying idea is to compute…

High Energy Physics - Theory · Physics 2021-05-12 Theresa Abl , Paul Heslop , Arthur E. Lipstein

We report a result for the third-order correction in $1/N$ expansion to the four-point correlator of the stress tensor multiplet in $\mathcal{N}=4$ super Yang--Mills theory at large 't Hooft coupling, which corresponds to the two-loop…

High Energy Physics - Theory · Physics 2023-03-01 Zhongjie Huang , Ellis Ye Yuan

We describe a construction of the two-loop amplitude of four graviton supermultiplets in AdS$_5\times$S$^5$. We start from an ansatz for a preamplitude from which we generate the full amplitude under the action of a specific Casimir…

High Energy Physics - Theory · Physics 2022-08-30 J. M. Drummond , H. Paul
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