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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
Subjects: Science & 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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