Abstract
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.
| Original language | English |
|---|---|
| Article number | 39 |
| Journal | Journal of High Energy Physics |
| Volume | 2017 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2017 May 1 |
Keywords
- Differential and Algebraic Geometry
- Solitons Monopoles and Instantons
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Cite this
Gudnason, S. B., & Nitta, M. (2017). Some exact Bradlow vortex solutions. Journal of High Energy Physics, 2017(5), [39]. https://doi.org/10.1007/JHEP05(2017)039