Finite-gap integration of the SU(2) Bogomolny equations

Details Finite-gap integration of the SU(2) Bogomolny equations Finite-gap integration of the SU(2) Bogomolny equations

2008-06-11

arxiv.org/abs/0806.1807v1

Physics

Mathematical Physics

15 pages. Based on talk presented at "Algebraic aspects of integrable systems", Islay, Scotland, July 1-7, 2007

Scientific paper

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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