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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.05073 |
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| _version_ | 1866911139487547392 |
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| author | Cederwall, Martin |
| author_facet | Cederwall, Martin |
| contents | The octonionic Hopf map, expressing $S^{15}$ as an $S^7$ bundle over $S^8$, appears in the twistor transform in 10 dimensions, $S^8$ playing the rôle of the celestial sphere. A symplectic lift to twistor space manifests $Spin(2,10)$ symmetry. The 25-dimensional spinor orbit of $Spin(2,10)$ is an $S^7$ bundle over the phase space of a massless particle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05073 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The octonionic phase space Hopf map Cederwall, Martin High Energy Physics - Theory The octonionic Hopf map, expressing $S^{15}$ as an $S^7$ bundle over $S^8$, appears in the twistor transform in 10 dimensions, $S^8$ playing the rôle of the celestial sphere. A symplectic lift to twistor space manifests $Spin(2,10)$ symmetry. The 25-dimensional spinor orbit of $Spin(2,10)$ is an $S^7$ bundle over the phase space of a massless particle. |
| title | The octonionic phase space Hopf map |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.05073 |