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

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

doi:10.1063/5.0098288

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

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

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

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.

Original language	English (US)
Article number	011701
Journal	Journal of Mathematical Physics
Volume	64
Issue number	1
DOIs	https://doi.org/10.1063/5.0098288
State	Published - Jan 1 2023
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/5.0098288

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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.",

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

Abstract

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