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:	http://arxiv.org/abs/hep-th/0304037 http://www.iop.org/EJ/abstract/-search=1...
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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