Construction of Nahm data and BPS monopoles with continuous symmetries
arXiv:2102.01657 · doi:10.1063/5.0055913
Abstract
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.
arXiv comment37 pages, 1 table, 2 figures. Theorem 4.1 improved
References in corpus (20)
- Symetric Monopoles
- Tetrahedral and Cubic Monopoles
- Symmetric Monopoles
- Octahedral and Dodecahedral Monopoles
- Platonic hyperbolic monopoles
- Seiberg-Witten theory, monopole spectral curves and affine Toda solitons
- Multicloud solutions with massless and massive monopoles
- On the constraints defining BPS monopoles
- Cyclic Monopoles
- Spectral curves and the mass of hyperbolic monopoles
- Hyperbolic monopoles, JNR data and spectral curves
- On the tetrahedrally symmetric monopole
- SU(N) Monopoles and Platonic Symmetry
- On Charge-3 Cyclic Monopoles
- Symmetric hyperbolic monopoles
- Cyclic Monopoles, Affine Toda and Spectral Curves
- The moduli space metric for tetrahedrally symmetric 4-monopoles
- Spectral curves of hyperbolic monopoles from ADHM
- On the charge density and asymptotic tail of a monopole
- Interactions of massless monopole clouds