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Related papers: Supergluon scattering in AdS: constructibility, sp…

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We prove that all tree-level $n$-point supergluon (scalar) amplitudes in AdS$_5$ can be recursively constructed, using factorization and flat-space limit. Our method is greatly facilitated by a natural R-symmetry basis for planar…

High Energy Physics - Theory · Physics 2025-08-12 Qu Cao , Song He , Yichao Tang

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

We investigate the embedding formalism in conjunction with the Mellin transform to determine tree-level gluon amplitudes in AdS/CFT. Detailed computations of three to five-point correlators are conducted, ultimately distilling what were…

High Energy Physics - Theory · Physics 2024-01-02 Jinwei Chu , Savan Kharel

In AdS/CFT, we introduce a robust method for computing $n$-point gluon Mellin amplitudes, applicable in various spacetime dimensions. Using the Mellin transform and a recursive algorithm, we efficiently calculate tree-level gluon…

High Energy Physics - Theory · Physics 2023-11-14 Jinwei Chu , Savan Kharel

We present a powerful new approach to compute tree-level higher-point holographic correlators. Our method only exploits the flat-space limit, where we point out a novel and important simplification, and factorization of amplitudes in AdS.…

High Energy Physics - Theory · Physics 2024-02-09 Luis F. Alday , Vasco Gonçalves , Maria Nocchi , Xinan Zhou

We propose an algorithm to recursively bootstrap $n$-point gluon and graviton Mellin-Momentum amplitudes in (A)dS spacetime using only three-point amplitude. We discover that gluon amplitudes are simply determined by factorization for…

High Energy Physics - Theory · Physics 2024-03-19 Jiajie Mei , Yuyu Mo

In this article we consider n gluon color ordered, planar amplitudes in N=4 super Yang Mills at strong 't Hooft coupling. These amplitudes are approximated by classical surfaces in AdS_5 space. We compute the value of the amplitude for a…

High Energy Physics - Theory · Physics 2010-04-06 Luis F. Alday , Juan Maldacena

We recently introduced a recursive bootstrap method for constructing $n$-point gluon and graviton Mellin-momentum amplitudes in (A)dS spacetime. The power of this approach was illustrated by our successful computation of the first…

High Energy Physics - Theory · Physics 2024-10-08 Jiajie Mei , Yuyu Mo

We use the AdS/CFT prescription of Alday and Maldacena \cite{am} to analyze gluon 6-point scattering amplitudes at strong coupling in ${\cal N}=4$ SYM. By cutting and gluing we obtain AdS 6-point amplitudes that contain extra boundary…

High Energy Physics - Theory · Physics 2009-06-19 Dumitru Astefanesei , Suguru Dobashi , Katsushi Ito , Horatiu Nastase

In this work, we extend the study of soft limits to (Anti) de Sitter spaces, investigating the analytic structure of holographic gluon correlators as part of a broader effort to reveal new symmetries and fundamental structures in gauge…

High Energy Physics - Theory · Physics 2024-11-22 Soner Albayrak , Savan Kharel

We extend the AdS/CFT prescription of Alday and Maldacena to finite temperature $T$, defining the amplitude for gluon scattering in ${\cal N}=4$ Super Yang-Mills at strong coupling from string theory. It is defined by a lightlike ''Wilson…

High Energy Physics - Theory · Physics 2008-11-26 Katsushi Ito , Horatiu Nastase , Koh Iwasaki

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

We study gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling via the AdS/CFT correspondence. We solve numerically the discretized Euler-Lagrange equations on the square worldsheet for the minimal surface with…

High Energy Physics - Theory · Physics 2014-11-18 Suguru Dobashi , Katsushi Ito , Koh Iwasaki

We demonstrate the simplicity of $AdS_5\times S^5$ IIB supergravity at one loop level, by studying non-planar holographic four-point correlators in Mellin space. We develop a systematic algorithm for constructing one-loop Mellin amplitudes…

High Energy Physics - Theory · Physics 2020-09-01 Luis F. Alday , Xinan Zhou

We propose a definition of Mellin amplitudes for conformal correlators involving arbitrary spinning operators in tensor representations of the Lorentz group. These representations cover all bosonic local operators. Our strategy is to…

High Energy Physics - Theory · Physics 2025-10-10 Zhongjie Huang , Yichao Tang

In this paper we study the scattering amplitudes at strong coupling for the case where the number of gluons is a multiple of four. This is an important missing piece in arXiv:1002.2459. The tricky point for n=4K is that there is some…

High Energy Physics - Theory · Physics 2011-01-27 Gang Yang

We investigate analytic properties of loop-level perturbative dynamics in pure AdS, with the scalar effective theories with non-derivative couplings as a prototype. Explicit computations reveal certain (perhaps unexpected) simplicity…

High Energy Physics - Theory · Physics 2018-01-24 Ellis Ye Yuan

We investigate the use of the embedding formalism and the Mellin transform in the calculation of tree-level conformal correlation functions in $AdS$/CFT. We evaluate 5- and 6-point Mellin amplitudes in $\phi^3$ theory and even a 12-pt…

High Energy Physics - Theory · Physics 2015-05-28 Miguel F. Paulos

We present new recursion relations for tree amplitudes in gauge theory that give very compact formulas. Our relations give any tree amplitude as a sum over terms constructed from products of two amplitudes of fewer particles multiplied by a…

High Energy Physics - Theory · Physics 2008-11-26 Ruth Britto , Freddy Cachazo , Bo Feng

We perform a systematic bootstrap analysis of four-point one-loop Mellin amplitudes for super gluons in $\mathrm{AdS}_5\times\mathrm{S}^3$ with arbitrary Kaluza-Klein weights. The analysis produces the general expressions for these…

High Energy Physics - Theory · Physics 2023-09-27 Zhongjie Huang , Bo Wang , Ellis Ye Yuan , Xinan Zhou
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