FINITE-GAP INTEGRATION OF THE SU(2) BOGOMOLNY EQUATIONS
Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 25-41

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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.
DOI : 10.1017/S0017089508004758
Mots-clés : 35Q58, 14H70, 37J35
BRADEN, H. W.; ENOLSKI, V. Z. FINITE-GAP INTEGRATION OF THE SU(2) BOGOMOLNY EQUATIONS. Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 25-41. doi: 10.1017/S0017089508004758
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[1] 1.Braden, H. W. and Enolski, V., Remarks on the complex geometry of 3-monopole (2006), 1–65, arXiv: math-ph/0601040. Google Scholar

[2] 2.Dubrovin, B. A., Completely integrable systems related to matrix operators and abelian varieties, Funk. Anal. Appl. 11 (4) (1977), 28–41. Google Scholar

[3] 3.Ercolani, N. and Sinha, A., Monopoles and Baker functions, Commun. Math. Phys. 125 (1989), 385–416. Google Scholar | DOI

[4] 4.Hitchin, N. J., Monopoles and Geodesics, Commun. Math. Phys. 83 (1982), 579–602. Google Scholar | DOI

[5] 5.Hitchin, N. J., On the Construction of Monopoles, Commun. Math. Phys. 89 (1983), 145–190. Google Scholar | DOI

[6] 6.Nahm, W., The construction of all self-dual multimonopoles by the ADHM method (World Scientific, Singapore, 1982). Google Scholar

[7] 7.Panagopoulos, H., Multimonopoles in arbitrary gauge groups and the complete su(2) two-monopole system, Phys. Rev. D 28 (2) (1983), 380–384. Google Scholar | DOI

[8] 8.Weinberg, E. J. and Piljin, Yi, Magnetic monopole dynamics, supersymmetry and duality, Phys. Rep. 438 (2007), 65–236, arXiv: hep-th/0609055. Google Scholar | DOI

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