Higher spin Killing spinors on 3-dimensional manifolds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917356560711680 |
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| author | Homma, Yasushi Imada, Natsuki Ohno, Soma |
| author_facet | Homma, Yasushi Imada, Natsuki Ohno, Soma |
| contents | We define higher spin Killing spinors on Riemannian spin manifolds in arbitrary dimension and study them in detail in dimension three. We prove a rigidity result for 3-dimensional manifolds admitting higher spin Killing spinors and give expressions for higher spin Killing spinors on the 3-sphere and the 3-hyperbolic space explicitly. We also investigate the Killing spinor type equation on integral spin bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21099 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Higher spin Killing spinors on 3-dimensional manifolds Homma, Yasushi Imada, Natsuki Ohno, Soma Differential Geometry High Energy Physics - Theory Mathematical Physics 53C27, 53C25, 58J50, 58J60 We define higher spin Killing spinors on Riemannian spin manifolds in arbitrary dimension and study them in detail in dimension three. We prove a rigidity result for 3-dimensional manifolds admitting higher spin Killing spinors and give expressions for higher spin Killing spinors on the 3-sphere and the 3-hyperbolic space explicitly. We also investigate the Killing spinor type equation on integral spin bundles. |
| title | Higher spin Killing spinors on 3-dimensional manifolds |
| topic | Differential Geometry High Energy Physics - Theory Mathematical Physics 53C27, 53C25, 58J50, 58J60 |
| url | https://arxiv.org/abs/2603.21099 |