Yang–Mills scattering form conjecture for the spinor scattering form

Let Λn4\Lambda_n^4 be spinor kinematic space, let pp and qq be the projections from the scattering correspondence, and define the Yang–Mills scattering form by

Υn:=qpΩ(Gr(2,n)0).\Upsilon_n:=q_*p^*\Omega(\operatorname{Gr}(2,n)_{\geq 0}).

Yang–Mills scattering form conjecture. The (2n4)(2n-4)-form Υn\Upsilon_n coincides with the N=4\mathcal{N}=4 SYM scattering form defined by HZ.

The conjecture identifies the form obtained from the positive Grassmannian with the previously defined N=4\mathcal{N}=4 supersymmetric Yang–Mills scattering form; no resolution is given in the supplied text.

Sources & referencesView supporting material

Primary source

Thomas Lam, “Moduli spaces in positive geometry”, arXiv:2405.17332 (2025).

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