Hyperbolic monopoles with continuous symmetries
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866913412591648768 |
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| author | Lang, C. J. |
| author_facet | Lang, C. J. |
| contents | We provide a framework to classify hyperbolic monopoles with continuous symmetries and find a Structure Theorem, greatly simplifying the construction of all those with spherically symmetry. In doing so, we reduce the problem of finding spherically symmetric hyperbolic monopoles to a problem in representation theory. Additionally, we determine constraints on the structure groups of such monopoles. Using these results, we construct novel spherically symmetric $\mathrm{Sp}(n)$ hyperbolic monopoles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10626 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hyperbolic monopoles with continuous symmetries Lang, C. J. Mathematical Physics High Energy Physics - Theory Differential Geometry 70S15, 35F50, 53C07 We provide a framework to classify hyperbolic monopoles with continuous symmetries and find a Structure Theorem, greatly simplifying the construction of all those with spherically symmetry. In doing so, we reduce the problem of finding spherically symmetric hyperbolic monopoles to a problem in representation theory. Additionally, we determine constraints on the structure groups of such monopoles. Using these results, we construct novel spherically symmetric $\mathrm{Sp}(n)$ hyperbolic monopoles. |
| title | Hyperbolic monopoles with continuous symmetries |
| topic | Mathematical Physics High Energy Physics - Theory Differential Geometry 70S15, 35F50, 53C07 |
| url | https://arxiv.org/abs/2310.10626 |