Are vortex numbers preserved?

Yoshiaki Maeda, Akifumi Sako

    研究成果: Article査読

    5 被引用数 (Scopus)

    抄録

    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.

    本文言語English
    ページ(範囲)967-978
    ページ数12
    ジャーナルJournal of Geometry and Physics
    58
    8
    DOI
    出版ステータスPublished - 2008 8

    ASJC Scopus subject areas

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

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