Hyperbolic monopoles with continuous symmetries

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.

arXiv comment38 pages, 2 figures, published version

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Cited by in corpus (1)

• Instantons with continuous conformal symmetries: Hyperbolic and singular monopoles and more, oh my!