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

Keywords

  • Differential and Algebraic Geometry
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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