Are vortex numbers preserved?

Yoshiaki Maeda, Akifumi Sako

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)


    We study noncommutative vortex solutions that minimize the action functional of the Abelian Higgs model in 2-dimensional noncommutative Euclidean space. We first consider vortex solutions which are deformed from solutions defined on commutative Euclidean space to the noncommutative one. We construct solutions whose vortex numbers are unchanged under the noncommutative deformation. Another class of noncommutative vortex solutions via a Fock space representation is also studied.

    Original languageEnglish
    Pages (from-to)967-978
    Number of pages12
    JournalJournal of Geometry and Physics
    Issue number8
    Publication statusPublished - 2008 Aug


    • Abelian-Higgs model
    • Noncommutative geometry
    • Vortex

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Geometry and Topology

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