Construction of exact solutions to Nahm’s equations for the multimonopole

Construction of exact solutions to Nahm’s equations for the multimonopole

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 o...

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Veröffentlicht in:Journal of mathematical physics 2023-01, Vol.64 (1)
Hauptverfasser: Braden, H. W., Cherkis, Sergey A., Quinones, Jason M.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Exact solutions
Mathematical analysis
Physics
Polynomials
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Beschreibung
Zusammenfassung: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0098288