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The Vasiliev Grassmannian

High Energy Physics - Theory 2026-03-27 v1

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 (S2+T2+U2)/(STU)(S^2+T^2+U^2)/(STU), where SS, TT, UU 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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Cite

@article{arxiv.2603.24656,
  title  = {The Vasiliev Grassmannian},
  author = {Shounak De and Hayden Lee},
  journal= {arXiv preprint arXiv:2603.24656},
  year   = {2026}
}

Comments

5 pages

R2 v1 2026-07-01T11:37:52.268Z