63 citations · 197 across the 18 of their papers we have counts for
8 papers · 1 filter
The Charge 2 Monopole via the ADHMN construction
H. W. Braden, V. Z. Enolski
Recently we have shown how one may use use integrable systems techniques to implement the ADHMN construction and obtain general analytic formulae for the charge n su(2) Euclidean m…
Multi-Dimensional Sigma-Functions
V. M. Buchstaber, V. Z. Enolski, D. V. Leykin
In 1997 the present authors published a review (Ref. BEL97 in the present manuscript) that recapitulated and developed classical theory of Abelian functions realized in terms of mu…
On the existence of non-abelian monopoles: the algebro-geometric approach
H. W. Braden, V. Z. Enolski
We develop the Atiyah-Drinfeld-Manin-Hitchin-Nahm construction to study SU(2) non-abelian charge 3 monopoles within the algebro-geometric method. The method starts with finding an…
On Charge-3 Cyclic Monopoles
H. W. Braden, Antonella D'Avanzo, V. Z. Enolski
We determine the spectral curve of charge 3 BPS su(2) monopoles with C_3 cyclic symmetry. The symmetry means that the genus 4 spectral curve covers a (Toda) spectral curve of genus…
On the tetrahedrally symmetric monopole
H. W. Braden, V. Z. Enolski
We study SU(2) BPS monopoles with spectral curves of the form . Previous work has has established a countable family of solutions to Hitchin's constraint that…
Finite-gap integration of the SU(2) Bogomolny equations
H. W. Braden, V. Z. Enolski
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 al…