Electrically and magnetically charged vortices in the Chern-Simons-Higgs theory

Robin Ming Chen, Yujin Guo, Daniel Spirn, Yisong Yang

Research output: Contribution to journalArticle

Abstract

In this paper, we prove the existence of finite-energy electrically and magnetically charged vortex solutions in the full Chern-Simons-Higgs theory, for which both the Maxwell term and the Chern-Simons term are present in the Lagrangian density. We consider both Abelian and non-Abelian cases. The solutions are smooth and satisfy natural boundary conditions. Existence is established via a constrained minimization procedure applied on indefinite action functionals. This work settles a long-standing open problem concerning the existence of dually charged vortices in the classical gauge field Higgs model minimally extended to contain a Chern-Simons term.

Original languageEnglish (US)
Pages (from-to)3489-3516
Number of pages28
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume465
Issue number2111
DOIs
StatePublished - Nov 8 2009

Keywords

  • Abelian and non-Abelian gauge theory
  • Chern-simons-higgs vortices
  • Constraint minimization

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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