Some exact Bradlow vortex solutions

Sven Bjarke Gudnason, Muneto Nitta

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Article number39
JournalJournal of High Energy Physics
Volume2017
Issue number5
DOIs
Publication statusPublished - 2017 May 1

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hypergeometric functions
vortices
curvature
geometry

Keywords

  • Differential and Algebraic Geometry
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Some exact Bradlow vortex solutions. / Gudnason, Sven Bjarke; Nitta, Muneto.

In: Journal of High Energy Physics, Vol. 2017, No. 5, 39, 01.05.2017.

Research output: Contribution to journalArticle

Gudnason, Sven Bjarke ; Nitta, Muneto. / Some exact Bradlow vortex solutions. In: Journal of High Energy Physics. 2017 ; Vol. 2017, No. 5.
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