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Color/kinematics duality in AdS4

Armstrong, Connor; Lipstein, Arthur E.; Mei, Jiajie

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Jiajie Mei


In flat space, the color/kinematics duality states that perturbative Yang-Mills amplitudes can be written in such a way that kinematic numerators obey the same Jacobi relations as their color factors. This remarkable duality implies BCJ relations for Yang-Mills amplitudes and underlies the double copy to gravitational amplitudes. In this paper, we find analogous relations for Yang-Mills amplitudes in AdS4. In particular we show that the kinematic numerators of 4-point Yang-Mills amplitudes computed via Witten diagrams in momentum space enjoy a generalised gauge symmetry which can be used to enforce the kinematic Jacobi relation away from the flat space limit, and we derive deformed BCJ relations which reduce to the standard ones in the flat space limit. We illustrate these results using compact new expressions for 4-point Yang-Mills amplitudes in AdS4 and their kinematic numerators in terms of spinors. We also spell out the relation to 3d conformal correlators in momentum space, and speculate on the double copy to graviton amplitudes in AdS4.


Armstrong, C., Lipstein, A. E., & Mei, J. (2021). Color/kinematics duality in AdS4. Journal of High Energy Physics, 2021(2), Article 194.

Journal Article Type Article
Acceptance Date Jan 18, 2021
Online Publication Date Feb 23, 2021
Publication Date 2021
Deposit Date Feb 26, 2021
Publicly Available Date Mar 1, 2021
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2021
Issue 2
Article Number 194


Published Journal Article (486 Kb)

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Copyright Statement
Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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