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    Scalar and spinor field actions on fuzzy S4: fuzzy CP3 as a S2F bundle over S4F


    Medina, Julieta and Huet, Idrish and O'Connor, Denjoe and Dolan, Brian P. (2012) Scalar and spinor field actions on fuzzy S4: fuzzy CP3 as a S2F bundle over S4F. Journal of High Energy Physics, 70. ISSN 1126-6708

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    Abstract

    We present a manifestly Spin(5) invariant construction of s quashed fuzzy CP3 as a fuzzy S2 bundle over fuzzy S4 . We develop the necessary projectors and exhibit the squashing in terms of the radii of the S2 and S4 . Our analysis allows us give both scalar and spinor fuzzy action functionals whose low lying modes are truncated versions of those of a commutative S4 .

    Item Type: Article
    Keywords: Matrix Models; Non-Commutative Geometry; Differential and Algebraic Geometry; Field Theories in Higher Dimensions;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 4244
    Depositing User: Dr. Brian Dolan
    Date Deposited: 11 Mar 2013 16:41
    Journal or Publication Title: Journal of High Energy Physics
    Publisher: Institute of Physics
    Refereed: Yes
    URI:
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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