We consider the Bradlow equation for vortices which was recently found by Manton and find a two-parameter class of analytic solutions in closed form on nontrivial geometries with non-constant curvature. The general solution to our class of metrics is given by a hypergeometric function and the area of the vortex domain by the Gaussian hypergeometric function.
- Differential and Algebraic Geometry
- Solitons Monopoles and Instantons
ASJC Scopus subject areas
- Nuclear and High Energy Physics