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Zbl 0707.35128
Ercolani, N.; Sinha, A.
Monopoles and Baker functions. (English)
[J] Commun. Math. Phys. 125, No.3, 385-416 (1989). ISSN 0010-3616; ISSN 1432-0916/e

The construction of explicit solutions of Nahm's equations which satisfy the regularity and reality conditions required for the physical monopoles is presented. A monopole and a spectral curve (i.e. a Riemann surface) are associated together with the data of a line bundle on this curve. The bundle evolves simply, in the Nahm ``time'' z, on the Jacobian (a torus) of the curve. A class of elliptic solutions of Nahm's equations for arbitrary monopole number, which correspond to singular curves with elliptic components are discussed. \par This study may be used to extend the results on the dynamics of slowly moving monopoles.
[A.A.Adäscäliţei]

MSC 2000:: *35Q40 PDE from quantum mechanics
81T13 Gauge theories

Keywords: Baker functions; elliptic solutions; Nahm's equations; monopoles

Cited in: Zbl 1226.14046 Zbl 0983.53016

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