Towards Color-Kinematics Duality in Generic Spacetimes

Abstract

In this note, we study color-kinematics duality in generic spacetimes. We work with a contact representation for on shell correlators. The position-space integrand is encoded by enumerated differential operators. This setup generalizes certain features of S-matrix kinematics to curved space. Differences between flat and curved space are captured by commutators. We study the nonlinear sigma model at four points as an explicit example and find that color-kinematics duality holds in generic spacetimes. We illustrate our approach in the AdS transition amplitude, a type of on shell correlation function. We find a double copy procedure at four points that connects the nonlinear sigma model, the biadjoint scalar theory, and the special Galileon theory.

30 pages, no figures; v2: minor reference adjustments, typos corrected

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Cited by in corpus (13)

• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• Off-Shell Color-Kinematics Duality for Chern-Simons
• On the Differential Representation and Color-Kinematics Duality of AdS Boundary Correlators
• New recursions for tree-level correlators in (Anti) de Sitter space
• Non-perturbative Double Copy in Flatland
• On Holography in General Background and the Boundary Effective Action from AdS to dS
• Effective Field Theories and Cosmological Scattering Equations
• Enhanced Soft Limits in de Sitter Space
• Soft limits of the wavefunction in exceptional scalar theories
• All plus four point (A)dS graviton function using generalized on-shell recursion relation
• Double copy for tree-level form factors. Part II. Generalizations and special topics
• Information Geometry and Holographic Correlators
• On-shell Correlators and Color-Kinematics Duality in Curved Symmetric Spacetimes