Symplectic Grassmannian description of the Coulomb branch three and four point amplitudes
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| author | Cortes, Veronica Calvo Maazouz, Yassine El Hegde, Subramanya Suthar, Amit |
| author_facet | Cortes, Veronica Calvo Maazouz, Yassine El Hegde, Subramanya Suthar, Amit |
| contents | We present a formulation of the three- and four-point amplitudes on the Coulomb branch of N=4 SYM as integrals over the symplectic Grassmannian. We demonstrate that their kinematic spaces are equivalent to symplectic Grassmannians SpGr(n,2n). For the three-point case, we express the amplitude as an integral over the symplectic Grassmannian in a specific little group frame. In the four-point case, we show that the integral yields the amplitude up to a known kinematic factor. Building on the four-dimensional analysis, we also express the six-dimensional N = (1,1) SYM amplitude in terms of four-dimensional variables in a form that makes its symplectic Grassmannian structure manifest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03705 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symplectic Grassmannian description of the Coulomb branch three and four point amplitudes Cortes, Veronica Calvo Maazouz, Yassine El Hegde, Subramanya Suthar, Amit High Energy Physics - Theory We present a formulation of the three- and four-point amplitudes on the Coulomb branch of N=4 SYM as integrals over the symplectic Grassmannian. We demonstrate that their kinematic spaces are equivalent to symplectic Grassmannians SpGr(n,2n). For the three-point case, we express the amplitude as an integral over the symplectic Grassmannian in a specific little group frame. In the four-point case, we show that the integral yields the amplitude up to a known kinematic factor. Building on the four-dimensional analysis, we also express the six-dimensional N = (1,1) SYM amplitude in terms of four-dimensional variables in a form that makes its symplectic Grassmannian structure manifest. |
| title | Symplectic Grassmannian description of the Coulomb branch three and four point amplitudes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.03705 |