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FINITE-GAP INTEGRATION OF THE SU(2) BOGOMOLNY EQUATIONS
Published online by Cambridge University Press: 01 February 2009
Abstract
The Atiyah–Drinfeld–Hitchin–Manin–Nahm (ADHMN) construction of magnetic monopoles is given in terms of the (normalizable) solutions of an associated Weyl equation. We focus here on solving this equation directly by algebro-geometric means. The (adjoint) Weyl equation is solved using an ansatz of Nahm in terms of Baker–Akhiezer functions. The solution of Nahm's equation is not directly used in our development.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2009
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