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arXiv · 2603.24656

The Vasiliev Grassmannian

Shounak De·Hayden Lee
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Abstract

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.

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Shounak De, Hayden Lee. 2026-03-25. The Vasiliev Grassmannian. https://arxiv.org/abs/2603.24656

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