Finite-gap integration of the SU(2) Bogomolny equations
classification
🧮 math-ph
math.MP
keywords
equationdirectlynahmtermsweyladhmnadjointalgebro-geometric
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The 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 ans\"atz 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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