Non-Abelian sine-Gordon solitons: Correspondence between SU (N) Skyrmions and CPN-1 lumps

Minoru Eto, Muneto Nitta

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


Topologically stable non-Abelian sine-Gordon solitons have been found recently in the U(N) chiral Lagrangian and a U(N) gauge theory with two N by N complex scalar fields coupled to each other. We construct the effective theory on a non-Abelian sine-Gordon soliton that is a nonlinear sigma model with the target space R×CPN-1. We then show that CPN-1 lumps on it represent SU(N) Skyrmions in the bulk point of view, providing a physical realization of the rational map ansatz for Skyrmions of the translational (Donaldson) type. We find therefore that Skyrmions can exist stably without the Skyrme term.

Original languageEnglish
Article number085044
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number8
Publication statusPublished - 2015 Apr 30

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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