Construction of Nahm data and BPS monopoles with continuous symmetries

@article{Charbonneau2022ConstructionON,
  title={Construction of Nahm data and BPS monopoles with continuous symmetries},
  author={Benoit Charbonneau and Anuk Dayaprema and Craig J. Lang and {\'A}kos Nagy and Haoyang Yu},
  journal={Journal of Mathematical Physics},
  year={2022}
}
We study solutions to Nahm’s equations with continuous symmetries and, under certain (mild) hypotheses, we classify the corresponding Ansätze. Using our classification, we construct novel Nahm data, and prescribe methods for generating further solutions. Finally, we use these results to construct new BPS monopoles with spherical symmetry. 1. Background and motivation When one studies a particular equation of interest and is confronted with the desire to prove the existence of solutions, the… 

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