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Double Copy from Homotopy Algebras

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arxiv 2102.11390 v2 pith:L77WRDR4 submitted 2021-02-22 hep-th math-phmath.MP

Leron Borsten , Branislav Jurco , Hyungrok Kim , Tommaso Macrelli , Christian Saemann , Martin Wolf This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords doublecopyalgebrasbrsthomotopylagrangianappliedarguing
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abstract

We show that the BRST Lagrangian double copy construction of $\mathcal{N}=0$ supergravity as the `square' of Yang-Mills theory finds a natural interpretation in terms of homotopy algebras. We significantly expand on our previous work arguing the validity of the double copy at the loop level, and we give a detailed derivation of the double copied Lagrangian and BRST operator. Our constructions are very general and can be applied to a vast set of examples.

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Cited by 7 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. Full S-matrices and Witten diagrams with (relative) L-infinity algebras

    hep-th 2024-12 conditional novelty 7.0 of 10

    Cyclic relative L-infinity algebras encode the full S-matrix, including its trivial part, and reproduce Witten diagrams including CFT two-point functions.

  3. 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.

  4. Symmetries Beget Symmetries: Ghostly Higher-Form Symmetries and the Descent Equation

    hep-th 2025-09 conditional novelty 6.0 of 10

    Using the BV formalism, the authors show that descent equations turn ordinary higher-form symmetries into families of 'ghostly' symmetries generated by currents of nonzero ghost number.

  5. 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.

  6. Time-dependent solutions of biadjoint scalar field theories

    hep-th 2025-02 accept novelty 6.0 of 10

    New plane-wave-type exact solutions of generalized biadjoint scalar field theory are constructed, including bounded profiles, using elliptic, tanh, and rational functions.

  7. 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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