Causal character of imaginary Killing spinors and spinorial slicings
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909965488226304 |
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| author | Hirsch, Sven Zhang, Yiyue |
| author_facet | Hirsch, Sven Zhang, Yiyue |
| contents | We characterize spin initial data sets that saturate the BPS bound in the asymptotically AdS setting. This includes both gravitational waves and rotating black holes in higher dimensions, and we establish a sharp dimension threshold in each case. A key ingredient in our argument is a theorem providing a general criterion for when an imaginary Killing spinor of mixed causal type can be replaced by one that is strictly timelike or null. Moreover, in analogy with the minimal surface method, we demonstrate that spinors can be used to construct a codimension-$2$ slicing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14569 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Causal character of imaginary Killing spinors and spinorial slicings Hirsch, Sven Zhang, Yiyue General Relativity and Quantum Cosmology Analysis of PDEs Differential Geometry We characterize spin initial data sets that saturate the BPS bound in the asymptotically AdS setting. This includes both gravitational waves and rotating black holes in higher dimensions, and we establish a sharp dimension threshold in each case. A key ingredient in our argument is a theorem providing a general criterion for when an imaginary Killing spinor of mixed causal type can be replaced by one that is strictly timelike or null. Moreover, in analogy with the minimal surface method, we demonstrate that spinors can be used to construct a codimension-$2$ slicing. |
| title | Causal character of imaginary Killing spinors and spinorial slicings |
| topic | General Relativity and Quantum Cosmology Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2512.14569 |