59 citations · 228 across the 20 of their papers we have counts for
21 papers
Towards a Classification of Charge-3 Monopoles with Symmetry
H. W. Braden, Linden Disney-Hogg
We classify all possible charge-3 monopole spectral curves with non-trivial automorphism group and within these identify those with elliptic quotients. By focussing on elliptic quo…
Construction of Exact Solutions to Nahm's Equations for the Multimonopole
H. W. Braden, Sergey A. Cherkis, Jason M. Quinones
We construct high rank solutions to Nahm's equations for boundary conditions that correspond to the Dirac multimonopole. Here, the spectral curve is explicitly known and we achieve…
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…
Spectral Curves are Transcendental
H. W. Braden
Some arithmetic properties of spectral curves are discussed: the spectral curve, for example, of a charge Euclidean BPS monopole is not defined over …
A Canonical Form for a Symplectic Involution
H. W. Braden
We present a canonical form for a symplectic involution , ; the construction is algorithmic. Application is made in the Riemann surface setting.
The Construction of Monopoles
H. W. Braden, V. Z. Enolski
We show that the Higgs and gauge fields for a BPS monopole may be constructed directly from the spectral curve without having to solve the gauge constraint needed to obtain the Nah…