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arXiv · 2412.08713

Uniqueness of MHV Gravity Amplitudes

Joris Koefler·Umut Oktem·Shruti Paranjape·Jaroslav Trnka·Bailee Zacovic
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Abstract

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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Joris Koefler, Umut Oktem, Shruti Paranjape, Jaroslav Trnka, Bailee Zacovic. 2024-12-11. Uniqueness of MHV Gravity Amplitudes. https://arxiv.org/abs/2412.08713

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