32 citations · 66 across the 7 of their papers we have counts for
8 papers
Monopoles, instantons and the Helmholtz equation
Guido Franchetti, Rafael Maldonado
In this work we study the dimensional reduction of smooth circle invariant Yang-Mills instantons defined on 4-manifolds which are non-trivial circle fibrations over hyperbolic 3-sp…
Hyperbolic monopoles from hyperbolic vortices
Rafael Maldonado
Certain hyperbolic monopoles and all hyperbolic vortices can be constructed from SO(2) and SO(3) invariant Euclidean instantons, respectively. This observation allows us to describ…
Analytic vortex solutions on compact hyperbolic surfaces
R. Maldonado, N. S. Manton
We construct, for the first time, Abelian-Higgs vortices on certain compact surfaces of constant negative curvature. Such surfaces are represented by a tessellation of the hyperbol…
Dynamics of monopole walls
R. Maldonado, R. S. Ward
The moduli space of centred Bogomolny-Prasad-Sommmerfield 2-monopole fields is a 4-dimensional manifold M with a natural metric, and the geodesics on M correspond to slow-motion mo…
Scaling limits of periodic monopoles
Rafael Maldonado
The purpose of this note is to explore the structure of singly periodic monopoles for different values of the size to period ratio. The transition between a chain of small monopole…
Higher charge periodic monopoles
Rafael Maldonado
We consider singly periodic solutions to the SU(2) Bogomolny equations and use the Nahm transform to generate a class of monopoles of charge k>2, thereby extending known results fo…