Color-Kinematics Duality and the Double Copy in Curved Spacetimes

arXiv:2608.23686 · hep-th, astro-ph.CO, gr-qc · Submitted 2026-08-24 · Read on arXiv

hep-th, astro-ph.CO, gr-qc

Submitted: 2026-08-24

Updated: 2026-10-13

Comments: 191 pages plus appendices and references, invited review article for Physics Reports

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Trace — 18× in this paper · explained in 2 episodes
• Generalization — 13× in this paper · explained in 13 episodes
• Homogeneity — 11× in this paper · explained in 2 episodes
• Anti-de Sitter — 10× in this paper
• Consistency — 6× in this paper · explained in 3 episodes
• Alignment — 4× in this paper · explained in 1 episode
• Gauge Freedom — 3× in this paper · explained in 2 episodes
• Redundancy — 3× in this paper · explained in 2 episodes
• Bosonization — 1× in this paper · explained in 2 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Gravitational Lensing — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Momentum transfer — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Regularization — 1× in this paper · explained in 3 episodes

Sources

• The Duality Between Color and Kinematics and its Applications
• The SAGEX Review on Scattering Amplitudes, Chapter 2: An Invitation to Color-Kinematics Duality and the Double Copy
• Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
• The Ultraviolet Properties of N=4 Supergravity at Four Loops
• Absence of Three-Loop Four-Point Divergences in N=4 Supergravity
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• Extracting Einstein from the Loop-Level Double-Copy
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• Snowmass White Paper: Gravitational Waves and Scattering Amplitudes
• The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes
• Bootstrapping the String KLT Kernel
• On graviton non-Gaussianities during inflation
• Quantum Contributions to Cosmological Correlations
• The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization
• The Large N Limit of Superconformal Field Theories and Supergravity
• Anti De Sitter Space And Holography
• New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators
• Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions
• Ambitwistor Strings and the Scattering Equations on AdS$_3\times$S$^3$

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