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One-Loop Self-Dual and N=4 Super Yang-Mills

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arxiv hep-th/9611127 v2 pith:XBKM57PJ submitted 1996-11-18 hep-th hep-ph

Z. Bern , L. Dixon , D.C. Dunbar , D.A. Kosower This is my paper · ORCID
classification hep-thhep-ph
keywords amplitudesconjecturehelicitymaximallyviolatingself-dualyang-millshelicities
verification ladder T0 review T1 audit T2 compute T3 formal
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We conjecture a simple relationship between the one-loop maximally helicity violating gluon amplitudes of ordinary QCD (all helicities identical) and those of N=4 supersymmetric Yang-Mills (all but two helicities identical). Because the amplitudes in self-dual Yang Mills have been shown to be the same as the maximally helicity violating ones in QCD, this conjecture implies that they are also related to the maximally helicity violating ones of N=4 supersymmetric Yang-Mills. We have an explicit proof of the relation up to the six-point amplitude; for amplitudes with more external legs, it remains a conjecture. A similar conjecture relates amplitudes in self-dual gravity to maximally helicity violating N=8 supergravity amplitudes.

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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. An adaptive inverse-problem framework for one-loop five-gluon BCJ numerators

    hep-th 2026-07 conditional novelty 6.0 of 10

    The complete 207-dimensional family of one-loop five-gluon BCJ numerator coefficients is reconstructed exactly, and every direction in that family is shown to be invisible to the specified color-ring observable.

  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. Pure connection formalism and Plebanski's second heavenly equation

    hep-th 2024-12 conditional novelty 6.0 of 10

    A pure-connection derivation yields Plebanski's second heavenly equation on flat and constant-curvature backgrounds, packaged in a compact covariant form with a new interpretation of the self-dual Yang-Mills kinematic...

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