Generating Hodges' Graviton MHV Formula with an $Lw_{1+\infty}$ Ward Identity
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912415990415360 |
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| author | Guevara, Alfredo Himwich, Elizabeth Miller, Noah |
| author_facet | Guevara, Alfredo Himwich, Elizabeth Miller, Noah |
| contents | Hodges' formula expresses the tree-level all-multiplicity Einstein gravity MHV amplitude as a matrix determinant. In this work, we prove that Hodges' determinant is generated by an $Lw_{1+\infty}$ Ward identity on the celestial sphere. The Ward identity takes the form of a recursion relation that has not previously appeared in the literature and is unrelated to BCFW. The proof makes use of the matrix-tree theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05460 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generating Hodges' Graviton MHV Formula with an $Lw_{1+\infty}$ Ward Identity Guevara, Alfredo Himwich, Elizabeth Miller, Noah High Energy Physics - Theory Hodges' formula expresses the tree-level all-multiplicity Einstein gravity MHV amplitude as a matrix determinant. In this work, we prove that Hodges' determinant is generated by an $Lw_{1+\infty}$ Ward identity on the celestial sphere. The Ward identity takes the form of a recursion relation that has not previously appeared in the literature and is unrelated to BCFW. The proof makes use of the matrix-tree theorem. |
| title | Generating Hodges' Graviton MHV Formula with an $Lw_{1+\infty}$ Ward Identity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.05460 |