Sigma models coupled with Abelian gauge fields

D. O'Keeffe, D. H. Tchrakian, Yisong Yang

Research output: Contribution to journalArticlepeer-review


Two distinct Skyrme terms for the CP1 model are defined, only one of which preserves the equivalence with the corresponding O(3) model. A gauging prescription in which the composite connection of the CP1 model is replaced by the U(1) gauge connection is defined. A U(1) gauged CP1 model and two distinct U(1) gauged CP1 models with Skyrme terms are defined. The existence of topologically stable vortices in each of the three U(1) gauged models is proved analytically.

Original languageEnglish (US)
Pages (from-to)5824-5831
Number of pages8
JournalJournal of Mathematical Physics
Issue number11
StatePublished - Nov 1998

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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