Uniqueness of MHV Gravity Amplitudes
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866918032786325504 |
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| author | Koefler, Joris Oktem, Umut Paranjape, Shruti Trnka, Jaroslav Zacovic, Bailee |
| author_facet | Koefler, Joris Oktem, Umut Paranjape, Shruti Trnka, Jaroslav Zacovic, Bailee |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08713 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniqueness of MHV Gravity Amplitudes Koefler, Joris Oktem, Umut Paranjape, Shruti Trnka, Jaroslav Zacovic, Bailee High Energy Physics - Theory 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. |
| title | Uniqueness of MHV Gravity Amplitudes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.08713 |