Finite-gap integration of the SU(2) Bogomolny equations
Mathematical Physics
2008-06-12 v1 math.MP
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 ans\"atz of Nahm in terms of Baker-Akhiezer functions. The solution of Nahm's equation is not directly used in our development.
Cite
@article{arxiv.0806.1807,
title = {Finite-gap integration of the SU(2) Bogomolny equations},
author = {H. W. Braden and V. Z. Enolski},
journal= {arXiv preprint arXiv:0806.1807},
year = {2008}
}
Comments
15 pages. Based on talk presented at "Algebraic aspects of integrable systems", Islay, Scotland, July 1-7, 2007