Construction of Exact Solutions to Nahm's Equations for the Multimonopole
arXiv:2204.07822 · doi:10.1063/5.0098288
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.
References in corpus (8)
- Knot Invariants from Four-Dimensional Gauge Theory
- A survey on Nahm transform
- On the Solutions of Generalized Bogomolny Equations
- Fermion Zero Modes for Abelian BPS Monopoles
- Spatially periodic instantons: Nahm transform and moduli
- The Construction of Monopoles
- Dirac zero modes for Abelian BPS multimonopoles
- Instantons on multi-Taub-NUT Spaces II: Bow Construction