English

Construction of Exact Solutions to Nahm's Equations for the Multimonopole

Mathematical Physics 2023-01-25 v1 math.MP

Abstract

We construct high rank solutions to Nahm's equations for boundary conditions that correspond to the Dirac multimonopole. Here, the spectral curve is explicitly known and we achieve the integration by constructing a basis of polynomial tuples that forms a frame for the flow of the eigenline bundle over the curve.

Keywords

Cite

@article{arxiv.2204.07822,
  title  = {Construction of Exact Solutions to Nahm's Equations for the Multimonopole},
  author = {H. W. Braden and Sergey A. Cherkis and Jason M. Quinones},
  journal= {arXiv preprint arXiv:2204.07822},
  year   = {2023}
}