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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.08512 |
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| _version_ | 1866910117163696128 |
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| author | Huang, Yu-tin Kuo, Chia-Kai Liu, Yohan Mei, Jiajie |
| author_facet | Huang, Yu-tin Kuo, Chia-Kai Liu, Yohan Mei, Jiajie |
| contents | Recently, it has been shown that wave function coefficients (WFCs) admit a natural description in terms of the orthogonal Grassmannian, furnishing homogeneous solutions to the three-dimensional conformal Ward identities in spinor-helicity variables. This, however, presents a challenge for WFCs of conserved currents, which satisfy inhomogeneous Ward identities; correspondingly, the Grassmannian construction reproduces only their \textit{discontinuities}. In this paper, we show that $\mathcal{N}=2$ supersymmetry, by relating spinning and non-spinning WFCs, leads to a Grassmannian formula augmented by a kinematic prefactor that captures the full WFC. Moreover, we show that the positive and negative branches of the Grassmannian formula admit a natural interpretation in terms of supersymmetric invariants, and give rise to distinct helicity amplitudes in the flat-space limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08512 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Beyond Discontinuities: Cosmological WFCs from the Supersymmetric Orthogonal Grassmannian Huang, Yu-tin Kuo, Chia-Kai Liu, Yohan Mei, Jiajie High Energy Physics - Theory Recently, it has been shown that wave function coefficients (WFCs) admit a natural description in terms of the orthogonal Grassmannian, furnishing homogeneous solutions to the three-dimensional conformal Ward identities in spinor-helicity variables. This, however, presents a challenge for WFCs of conserved currents, which satisfy inhomogeneous Ward identities; correspondingly, the Grassmannian construction reproduces only their \textit{discontinuities}. In this paper, we show that $\mathcal{N}=2$ supersymmetry, by relating spinning and non-spinning WFCs, leads to a Grassmannian formula augmented by a kinematic prefactor that captures the full WFC. Moreover, we show that the positive and negative branches of the Grassmannian formula admit a natural interpretation in terms of supersymmetric invariants, and give rise to distinct helicity amplitudes in the flat-space limit. |
| title | Beyond Discontinuities: Cosmological WFCs from the Supersymmetric Orthogonal Grassmannian |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.08512 |