Supergluon scattering in AdS: constructibility, spinning amplitudes, and new structures

Abstract We elaborate on a new recursive method proposed in [1] for computing tree-level n-point supergluon amplitudes as well as those with one gluon, i.e. spinning amplitudes, in AdS5 × S 3. We present an improved proof for the so-called “constructibility” of supergluon and spinning amplitudes bas...

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Main Authors: Qu Cao, Song He, Xiang Li, Yichao Tang
Format: Article
Language:English
Published: SpringerOpen 2024-10-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP10(2024)040
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author Qu Cao
Song He
Xiang Li
Yichao Tang
author_facet Qu Cao
Song He
Xiang Li
Yichao Tang
author_sort Qu Cao
collection DOAJ
description Abstract We elaborate on a new recursive method proposed in [1] for computing tree-level n-point supergluon amplitudes as well as those with one gluon, i.e. spinning amplitudes, in AdS5 × S 3. We present an improved proof for the so-called “constructibility” of supergluon and spinning amplitudes based on their factorizations and flat-space limit, which allows us to determine these amplitudes in Mellin space to all n. We present explicit and remarkably simple expressions for up to n = 7 supergluon amplitudes and n = 6 spinning amplitudes, which can be viewed as AdS generalizations of the scalar-scaffolded gluon amplitudes proposed recently. We then reveal a series of hidden structures of these AdS amplitudes including (1). an understanding of general pole structures especially the precise truncation on descendent poles (2). a derivation of simple “Feynman rules” for the all-n amplitudes with the simplest R-symmetry structures, and (3). certain universal behavior analogous to the soft/collinear limit of flat-space amplitudes.
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spelling doaj-art-9bff6c4cd81643d7a8347a921af51c932024-12-08T12:13:04ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241014810.1007/JHEP10(2024)040Supergluon scattering in AdS: constructibility, spinning amplitudes, and new structuresQu Cao0Song He1Xiang Li2Yichao Tang3Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang UniversityCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesAbstract We elaborate on a new recursive method proposed in [1] for computing tree-level n-point supergluon amplitudes as well as those with one gluon, i.e. spinning amplitudes, in AdS5 × S 3. We present an improved proof for the so-called “constructibility” of supergluon and spinning amplitudes based on their factorizations and flat-space limit, which allows us to determine these amplitudes in Mellin space to all n. We present explicit and remarkably simple expressions for up to n = 7 supergluon amplitudes and n = 6 spinning amplitudes, which can be viewed as AdS generalizations of the scalar-scaffolded gluon amplitudes proposed recently. We then reveal a series of hidden structures of these AdS amplitudes including (1). an understanding of general pole structures especially the precise truncation on descendent poles (2). a derivation of simple “Feynman rules” for the all-n amplitudes with the simplest R-symmetry structures, and (3). certain universal behavior analogous to the soft/collinear limit of flat-space amplitudes.https://doi.org/10.1007/JHEP10(2024)040AdS-CFT CorrespondenceScattering AmplitudesSupersymmetric Gauge Theory
spellingShingle Qu Cao
Song He
Xiang Li
Yichao Tang
Supergluon scattering in AdS: constructibility, spinning amplitudes, and new structures
Journal of High Energy Physics
AdS-CFT Correspondence
Scattering Amplitudes
Supersymmetric Gauge Theory
title Supergluon scattering in AdS: constructibility, spinning amplitudes, and new structures
title_full Supergluon scattering in AdS: constructibility, spinning amplitudes, and new structures
title_fullStr Supergluon scattering in AdS: constructibility, spinning amplitudes, and new structures
title_full_unstemmed Supergluon scattering in AdS: constructibility, spinning amplitudes, and new structures
title_short Supergluon scattering in AdS: constructibility, spinning amplitudes, and new structures
title_sort supergluon scattering in ads constructibility spinning amplitudes and new structures
topic AdS-CFT Correspondence
Scattering Amplitudes
Supersymmetric Gauge Theory
url https://doi.org/10.1007/JHEP10(2024)040
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AT songhe supergluonscatteringinadsconstructibilityspinningamplitudesandnewstructures
AT xiangli supergluonscatteringinadsconstructibilityspinningamplitudesandnewstructures
AT yichaotang supergluonscatteringinadsconstructibilityspinningamplitudesandnewstructures