Integrability of Chern-Simons-Higgs and Abelian Higgs vortex equations in a background metric

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Abstract

The equations for Chern-Simons-Higgs and Abelian Higgs vortices are reformulated in a certain form of background metric. Painleve analysis is applied to determine integrability of the equations, and explicit solutions for cylindrically symmetric Chern-Simons-Higgs vortices are found for a specific choice of the metric.

Original languageEnglish
Pages (from-to)753-761
Number of pages9
JournalJournal of Mathematical Physics
Volume32
Issue number3
DOIs
StatePublished - Mar 1991
Externally publishedYes

Keywords

  • BOUNDARY CONDITIONS
  • CONSERVATION LAWS
  • EQUATIONS OF MOTION
  • HIGGS BOSONS
  • METRICS
  • NONLINEAR PROBLEMS
  • QUANTUM FIELD THEORY
  • TOPOLOGY

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