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

2008/06/11 by Braden, H. W., Enolski, V. Z.
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0806.1807

Abstract

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 ansätz 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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