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

Harry W Braden; Sergey  A. Cherkis; Jason  M. Quinones

doi:10.1063/5.0098288

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

Harry W Braden, Sergey A. Cherkis, Jason M. Quinones

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

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.

Original language	English
Article number	011701
Journal	Journal of mathematical physics
Volume	64
Issue number	1
Early online date	11 Jan 2023
DOIs	https://doi.org/10.1063/5.0098288
Publication status	Published - 31 Jan 2023

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10.1063/5.0098288

https://arxiv.org/abs/2204.07822

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title = "Construction of exact solutions to Nahm{\textquoteright}s equations for the multimonopole",

abstract = "We construct high rank solutions to Nahm{\textquoteright}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.",

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AB - 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.

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IS - 1

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

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