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Off-shell color-kinematics duality from codifferentials

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arxiv 2409.11484 v2 pith:RJXROGKB submitted 2024-09-17 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords dualitycolor-kinematicsoff-shelltheoryexamplesgeneralwellactions
verification ladder T0 review T1 audit T2 compute T3 formal
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We examine the color-kinematics duality within the BV formalism, highlighting its emergence as a feature of specific gauge-fixed actions. Our goal is to establish a general framework for studying the duality while investigating straightforward examples of off-shell color-kinematics duality. In this context, we revisit Chern-Simons theory as well as introduce new examples, including BF theory and 2D Yang-Mills theory, which are shown to exhibit the duality off-shell. We emphasize that the geometric structures responsible for flat-space color-kinematics duality appear for general curved spaces as well.

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Cited by 3 Pith papers

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

  1. Gleaning gravitational amplitudes -- a double copy for canceling dilatons

    hep-th 2025-01 conditional novelty 7.0 of 10

    An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.

  2. 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.

  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.

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