Deformation quantization with separation of variables and gauge theories

Yoshiaki Maeda, Akifumi Sako, Toshiya Suzuki, Hiroshi Umetsu

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    1 Citation (Scopus)

    Abstract

    We construct a gauge theory on a noncommutative homogeneous Kähler manifold by using the deformation quantization with separation of variables for Kähler manifolds. A model of noncommutative gauge theory that is connected with an ordinary Yang-Mills theory in the commutative limit is given. As an examples, we review a noncommutative ℂPN and construct a gauge theory on it. We also give details of the proof showing that the noncommutative ℂPN constructed in this paper coincides with the one given by Bordemann, Brischle, Emmrich and Waldmann [1].

    Original languageEnglish
    Title of host publicationGeometric Methods in Physics - 33rd Workshop, 2014
    EditorsPiotr Kielanowski, Pierre Bieliavsky, Anatol Odzijewicz, Martin Schlichenmaier, Theodore Voronov
    PublisherSpringer International Publishing
    Pages135-144
    Number of pages10
    ISBN (Print)9783319182117
    DOIs
    Publication statusPublished - 2015
    Event33rd Workshop on Geometric Methods in Physics, 2014 - Bialowieza, Poland
    Duration: 2014 Jun 292014 Jul 5

    Publication series

    NameTrends in Mathematics
    Volume71
    ISSN (Print)2297-0215
    ISSN (Electronic)2297-024X

    Other

    Other33rd Workshop on Geometric Methods in Physics, 2014
    CountryPoland
    CityBialowieza
    Period14/6/2914/7/5

    Keywords

    • Gauge theory
    • Noncommutative geometry

    ASJC Scopus subject areas

    • Mathematics(all)

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