The Dirac and Rarita-Schwinger equations on scalar flat metrics of Taub-NUT type
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915665058725888 |
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| author | Xue, Xiaoman Liu, Chuxiao |
| author_facet | Xue, Xiaoman Liu, Chuxiao |
| contents | We construct a scalar flat metric of Taub-NUT type whose total mass can be negative. The standard Taub-NUT metric and its negative NUT charge counterpart serve as particular examples, for which the complex 2-dimensional space of parallel spinors gives rise to $L^2$ harmonic spinors and Rarita-Schwinger fields. For the scalar flat Taub-NUT type metric, we study the Dirac and Rarita-Schwinger equations by separating them into angular and radial equations, and obtain explicit solutions in certain special cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09382 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Dirac and Rarita-Schwinger equations on scalar flat metrics of Taub-NUT type Xue, Xiaoman Liu, Chuxiao Mathematical Physics We construct a scalar flat metric of Taub-NUT type whose total mass can be negative. The standard Taub-NUT metric and its negative NUT charge counterpart serve as particular examples, for which the complex 2-dimensional space of parallel spinors gives rise to $L^2$ harmonic spinors and Rarita-Schwinger fields. For the scalar flat Taub-NUT type metric, we study the Dirac and Rarita-Schwinger equations by separating them into angular and radial equations, and obtain explicit solutions in certain special cases. |
| title | The Dirac and Rarita-Schwinger equations on scalar flat metrics of Taub-NUT type |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2512.09382 |