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Colour-kinematics duality, double copy, and homotopy algebras

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arxiv 2211.16405 v1 pith:SAE2UJQ7 submitted 2022-11-29 hep-th

Leron Borsten , Hyungrok Kim , Branislav Jurčo , Tommaso Macrelli , Christian Saemann , Martin Wolf This is my paper · ORCID
classification hep-th
keywords colour-kinematicsdualitytheorylevelcopydoublehomotopyloop
verification ladder T0 review T1 audit T2 compute T3 formal
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Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double copy. Albeit fully established at the tree level, its extension to the loop level is conjectural. Lifting the on-shell, scattering amplitudes-based description to the level of action functionals, we argue that a theory that exhibits tree-level colour-kinematics duality can be reformulated in a way such that its loop integrands manifest a generalised form of colour-kinematics duality. Moreover, we show how the structures of higher homotopy theory naturally describe this off-shell reformulation of colour-kinematics duality.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Double Copy of Maximal Supersymmetry in $D=4$

    hep-th 2025-01 conditional novelty 7.0 of 10

    N=8 supergravity to cubic order is realized as the off-shell double copy of N=4 super Yang-Mills, with N=8 supersymmetry and SU(8) R-symmetry emerging from the two gauge factors.

  2. Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter

    hep-th 2026-07 accept novelty 6.0 of 10

    Perturbiner recursion proves color-factor symmetry (hence BCJ relations) for all tree-level YM+matter amplitudes with at least one gluon.

  3. Off-shell double copy theories in BV

    hep-th 2025-06 conditional novelty 6.0 of 10

    A BV-formalism construction gives off-shell double-copy actions for Chern-Simons, BF, and 2D Yang-Mills theories, with Kodaira-Spencer and Kähler gravity as natural examples.

  4. HEFT Numerators from Kinematic Algebra

    hep-th 2025-01 conditional novelty 6.0 of 10

    The heavy-mass effective field theory kinematic numerators are derived as the field theory limit of nested commutators of string vertex operators, reproducing and extending earlier fusion-rule results.

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