The Vasiliev Grassmannian
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911545032704000 |
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| author | De, Shounak Lee, Hayden |
| author_facet | De, Shounak Lee, Hayden |
| contents | We express the scalar four-point function of minimal Vasiliev higher-spin gravity in de Sitter space as an integral over the orthogonal Grassmannian OGr(4,8). The full crossing-symmetric Vasiliev Grassmannian correlator is given by $(S^2+T^2+U^2)/(STU)$, where $S$, $T$, $U$ are the Grassmannian Mandelstam variables. Remarkably, this has the same form as the field-theory limit of the Veneziano amplitude, despite arising from the opposite, tensionless limit of an infinite massless higher-spin tower. We verify the formula by evaluating the Grassmannian contour integral and matching it to the momentum-space result, and analyze its singularities and residues directly in Grassmannian space. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_24656 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Vasiliev Grassmannian De, Shounak Lee, Hayden High Energy Physics - Theory We express the scalar four-point function of minimal Vasiliev higher-spin gravity in de Sitter space as an integral over the orthogonal Grassmannian OGr(4,8). The full crossing-symmetric Vasiliev Grassmannian correlator is given by $(S^2+T^2+U^2)/(STU)$, where $S$, $T$, $U$ are the Grassmannian Mandelstam variables. Remarkably, this has the same form as the field-theory limit of the Veneziano amplitude, despite arising from the opposite, tensionless limit of an infinite massless higher-spin tower. We verify the formula by evaluating the Grassmannian contour integral and matching it to the momentum-space result, and analyze its singularities and residues directly in Grassmannian space. |
| title | The Vasiliev Grassmannian |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.24656 |