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Uniqueness of MHV Gravity Amplitudes

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arxiv 2412.08713 v1 pith:WCTTK7AI submitted 2024-12-11 hep-th

classification hep-th
keywords amplitudesgravitysingularitiesuniquenessadjointsadmitamplituhedron-likeapproach
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate MHV tree-level gravity amplitudes as defined on the spinor-helicity variety. Unlike their gluon counterparts, the gravity amplitudes do not have logarithmic singularities and do not admit Amplituhedron-like construction. Importantly, they are not determined just by their singularities, but rather their numerators have interesting zeroes. We make a conjecture about the uniqueness of the numerator and explore this feature from a more mathematical perspective. This leads us to a new approach for examining adjoints. We outline steps of our proposed proof and provide computational evidence for its validity in specific cases.

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Cited by 1 Pith paper

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

  1. Generating Hodges' Graviton MHV Formula with an $Lw_{1+\infty}$ Ward Identity

    hep-th 2025-06 accept novelty 6.0 of 10

    Hodges' all-multiplicity graviton MHV determinant is exactly generated by a one-particle recursion that takes the form of an Lw_{1+∞} Ward identity.

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