Color-Kinematics Duality and the Double Copy in Curved Spacetimes
Abstract
The double copy relates gravitational data to gauge-theory data, most sharply through color-kinematics duality for flat-space scattering amplitudes. This review surveys the extent to which this idea can be formulated beyond asymptotically flat backgrounds. After recalling the flat-space ingredients needed for comparison, we describe curved-space constructions for boundary correlators and scattering observables in AdS, dS, and other non-trivial backgrounds. We then review classical and field-level maps, including Kerr--Schild, Weyl, Cotton, twistor, and convolutional double copies. A separate part is devoted to self-dual sectors. Throughout, we emphasize both the common structures that survive from flat space and the obstructions introduced by curvature.
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BibTeX
@misc{gonzalez2026colorkinematics,
title = {{Color-Kinematics Duality and the Double Copy in Curved Spacetimes}},
author = {Mariana Carrillo González},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.23686},
eprint = {2608.23686},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.23686},
}
RIS
TY - UNPB
TI - Color-Kinematics Duality and the Double Copy in Curved Spacetimes
AU - Mariana Carrillo González
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2608.23686
UR - https://arxiv.org/abs/2608.23686
AB - The double copy relates gravitational data to gauge-theory data, most sharply through color-kinematics duality for flat-space scattering amplitudes. This review surveys the extent to which this idea can be formulated beyond asymptotically flat backgrounds. After recalling the flat-space ingredients needed for comparison, we describe curved-space constructions for boundary correlators and scattering observables in AdS, dS, and other non-trivial backgrounds. We then review classical and field-level maps, including Kerr--Schild, Weyl, Cotton, twistor, and convolutional double copies. A separate part is devoted to self-dual sectors. Throughout, we emphasize both the common structures that survive from flat space and the obstructions introduced by curvature.
ER -