Construction of Nahm data and BPS monopoles with continuous symmetries
Mathematical Physics
2022-11-15 v5 High Energy Physics - Theory
Differential Geometry
math.MP
Abstract
We study solutions to Nahm's equations with continuous symmetries and, under certain (mild) hypotheses, we classify the corresponding Ans\"atze. 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.
Cite
@article{arxiv.2102.01657,
title = {Construction of Nahm data and BPS monopoles with continuous symmetries},
author = {Benoit Charbonneau and Anuk Dayaprema and C. J. Lang and Ákos Nagy and Haoyang Yu},
journal= {arXiv preprint arXiv:2102.01657},
year = {2022}
}
Comments
37 pages, 1 table, 2 figures. Theorem 4.1 improved