Spherically symmetric Dirac-Yang-Mills pairs on Riemannian manifolds
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915982899937280 |
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| author | Lindström, Adam Sobak, Marko |
| author_facet | Lindström, Adam Sobak, Marko |
| contents | In this paper we construct examples of spherically symmetric Dirac-Yang-Mills pairs on Riemannian 3-manifolds with the structure group SU(2). This approach yields coupled solutions (i.e. the connection is not a Yang-Mills connection) and among them are solutions on S^1(r_1) x S^2(r_2) for certain radii r_1 and r_2. We further show how to use such pairs to induce Dirac-Yang-Mills pairs on Riemannian products of arbitrary dimension. These are, to the authors' best knowledge, the first examples of coupled Dirac-Yang-Mills pairs on a closed Riemannian spin manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09122 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spherically symmetric Dirac-Yang-Mills pairs on Riemannian manifolds Lindström, Adam Sobak, Marko Differential Geometry Mathematical Physics 53C07, 53C27, 58E15, 70S15 In this paper we construct examples of spherically symmetric Dirac-Yang-Mills pairs on Riemannian 3-manifolds with the structure group SU(2). This approach yields coupled solutions (i.e. the connection is not a Yang-Mills connection) and among them are solutions on S^1(r_1) x S^2(r_2) for certain radii r_1 and r_2. We further show how to use such pairs to induce Dirac-Yang-Mills pairs on Riemannian products of arbitrary dimension. These are, to the authors' best knowledge, the first examples of coupled Dirac-Yang-Mills pairs on a closed Riemannian spin manifold. |
| title | Spherically symmetric Dirac-Yang-Mills pairs on Riemannian manifolds |
| topic | Differential Geometry Mathematical Physics 53C07, 53C27, 58E15, 70S15 |
| url | https://arxiv.org/abs/2602.09122 |