Exact Color Kinematics Duality in the Cosmological Correlators
Abstract
In this paper, we study color kinematics duality and related double-copy and BCJ structures in the cosmological Grassmannian framework. The simplicity of these correlators in this framework makes it possible to test the double copy construction beyond flat space. We show that the four-point gluon correlator admits a representation whose kinematic numerators satisfy an algebraically exact Jacobi identity, ns + nt + nu = 0. Replacing color factors with kinematic numerators gives a graviton correlator that reproduces the correct factorization residues and flat-space limit, which matches with the BCFW result up to terms regular in all exchange channels. In addition, we construct a differential bi-adjoint scalar matrix whose null vector gives rise to a differential BCJ relation among color-ordered gluon correlators. We further explore an s-copy construction for general integer-spin correlators and show that for odd spin the corresponding numerators satisfy a Jacobi identity. Finally, we develop a differential representation for scalar four-point correlators with gluon exchange. These results establish algebraic and differential aspects of graviton and gluon correlators in curved spacetime.
Related
- Color-Kinematics Duality and the Double Copy in Curved Spacetimes
- A six-gluon obstruction to dimension-independent local color-kinematics duality at one loop
- Gluonic nucleon energy correlators and fracture functions for Color Glass Condensate
- Cosmological correlators from the Euclidean sphere
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BibTeX
@misc{bala2026exact,
title = {{Exact Color Kinematics Duality in the Cosmological Correlators}},
author = {Aswini Bala and Sachin Jain and Vibhor Singh},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.28639},
eprint = {2609.28639},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.28639},
note = {CC0},
}
RIS
TY - UNPB
TI - Exact Color Kinematics Duality in the Cosmological Correlators
AU - Aswini Bala
AU - Sachin Jain
AU - Vibhor Singh
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2609.28639
UR - https://arxiv.org/abs/2609.28639
AB - In this paper, we study color kinematics duality and related double-copy and BCJ structures in the cosmological Grassmannian framework. The simplicity of these correlators in this framework makes it possible to test the double copy construction beyond flat space. We show that the four-point gluon correlator admits a representation whose kinematic numerators satisfy an algebraically exact Jacobi identity, n_s + n_t + n_u = 0. Replacing color factors with kinematic numerators gives a graviton correlator that reproduces the correct factorization residues and flat-space limit, which matches with the BCFW result up to terms regular in all exchange channels. In addition, we construct a differential bi-adjoint scalar matrix whose null vector gives rise to a differential BCJ relation among color-ordered gluon correlators. We further explore an s-copy construction for general integer-spin correlators and show that for odd spin the corresponding numerators satisfy a Jacobi identity. Finally, we develop a differential representation for scalar four-point correlators with gluon exchange. These results establish algebraic and differential aspects of graviton and gluon correlators in curved spacetime.
ER -