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Gauge-Invariant Double-Copies via Recursion

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arxiv 2307.02542 v1 pith:GI7IILV4 submitted 2023-07-05 hep-th

classification hep-th
keywords double-copiesamplitudesgauge-invariantpurerecursionrepresentationssuper-bcfw
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We prove that all tree-level amplitudes in pure (super-)gravity can be expressed as term-wise, gauge-invariant double-copies of those of pure (super-)Yang-Mills obtained via BCFW recursion. These representations are far from unique: varying the recursive scheme leads to a wide variety of distinct, but equally valid representations of gravitational amplitudes, all realized as double-copies.

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  1. The Many Colours of Amplitudes

    hep-th 2024-12 accept novelty 6.0 of 10

    The authors compute exact numbers of independent colour tensors for all simple Lie algebras and survey their factorial, exponential, and special-group behaviour.

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