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arXiv · 2604.08512

Beyond Discontinuities: Cosmological WFCs and the Supersymmetric Orthogonal Grassmannian

Yu-tin Huang·Chia-Kai Kuo·Yohan Liu·Jiajie Mei
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Abstract

We construct an $\mathcal N=2$ supersymmetric Grassmannian representation of tree-level wavefunction coefficients (WFCs) by combining Grassmannian representations of energy discontinuities with an inversion formula. Since the orthogonal Grassmannian captures homogeneous solutions of the spinor conformal Ward identities, while current WFCs satisfy inhomogeneous Ward identities, the full WFC is obtained by reconstructing the energy-dependent prefactors from a basis of discontinuities. We first demonstrate this mechanism at three points, where the triple discontinuity determines the transverse current WFC and admits a supersymmetric uplift. At four points, we invert a spanning set of five current discontinuities and embed the result in momentum superspace using super-orthogonal-Grassmannian invariants generated by $\hat\delta(C\Omega\Xi^I)$. This yields the full four-point super WFC in Grassmannian form. We show that the two orthogonal-Grassmannian branches organize distinct supersymmetric invariants and reduce, in the flat-space limit, to different helicity superamplitudes.

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Yu-tin Huang, Chia-Kai Kuo, Yohan Liu, Jiajie Mei. 2026-04-09. Beyond Discontinuities: Cosmological WFCs and the Supersymmetric Orthogonal Grassmannian. https://arxiv.org/abs/2604.08512

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