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    The Spectrum of the Dirac Operator on Coset Spaces with Homogeneous Gauge Fields


    Dolan, Brian P. (2003) The Spectrum of the Dirac Operator on Coset Spaces with Homogeneous Gauge Fields. Journal of High Energy Physics, 0305.

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    Abstract

    The spectrum and degeneracies of the Dirac operator are analysed on compact coset spaces when there is a non-zero homogeneous background gauge field which is compatible with the symmetries of the space, in particular when the gauge field is derived from the spin-connection. It is shown how the degeneracy of the lowest Landau level in the recently proposed higher dimensional quantum Hall effect is related to the Atiyah-Singer index theorem for the Dirac operator on a compact coset space.

    Item Type: Article
    Keywords: Field Theories in Higher Dimensions, Differential and Algebraic Geometry
    Academic Unit: Faculty of Science and Engineering > Experimental Physics
    Item ID: 255
    Depositing User: Dr. Brian Dolan
    Date Deposited: 05 Oct 2005
    Journal or Publication Title: Journal of High Energy Physics
    Publisher: IOP
    Refereed: Yes
    URI:

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