BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
Abstract
We generalize the color/kinematics duality of flat-space scattering amplitudes to the embedding space formulation of AdS boundary correlators. Kinematic numerators and propagators are replaced with differential operators acting on a scalar contact diagram that is the AdS generalization of the momentum conserving delta function of flat space scattering amplitudes. We show that color/kinematics duality implies differential relations among AdS boundary correlators that naturally generalize the flat space BCJ amplitude relations and verify them for the correlators of Yang-Mills theory and of the Nonlinear Sigma Model through four- and six-points, respectively. For the latter we also find representations of the four- and six-point correlator that manifest the duality. Possible double-copy procedures in AdS space are also discussed.
Keywords
Cite
@article{arxiv.2106.10822,
title = {BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space},
author = {Pranav Diwakar and Aidan Herderschee and Radu Roiban and Fei Teng},
journal= {arXiv preprint arXiv:2106.10822},
year = {2021}
}
Comments
45 pages plus 3 appendices; v2: minor corrections, clarified discussion, references added