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arXiv · 2310.10626

Hyperbolic monopoles with continuous symmetries

C. J. Lang
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Abstract

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.

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BibTeXRIS

C. J. Lang. 2023-10-16. Hyperbolic monopoles with continuous symmetries. https://doi.org/10.1016/j.geomphys.2024.105258

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