Gauge theories on noncommutative Kähler manifolds

Yoshiaki Maeda, Akifumi Sako, Toshiya Suzuki, Hiroshi Umetsu

    Research output: Contribution to journalConference articlepeer-review


    We study gauge theories on noncommutative homogeneous Kähler manifolds. To make the noncommutative manifolds, we use the deformation quantization with separation of variables for Kähler manifolds. We construct models of noncommutative gauge theories that are connected with usual Yang-Mills theories in the commutative limits. It is expected that the models connecting to commutative gauge theories are uniquely determined. As examples, we give noncommutative CPN and noncommutative CHN and gauge theories on them. Some kinds of gauge symmetry breaking and topological symmetry breaking by noncommutative deformations are observed by concrete geometrical calculations.

    Original languageEnglish
    Article number012045
    JournalJournal of Physics: Conference Series
    Issue number1
    Publication statusPublished - 2015 Jul 3
    Event7th International Workshop on Decoherence, Information, Complexity and Entropy: Spacetime Matter Quantum Mechanics ... News on Missing Links, DICE 2014 - Castiglioncello, Tuscany, Italy
    Duration: 2014 Sep 152014 Sep 19

    ASJC Scopus subject areas

    • Physics and Astronomy(all)


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