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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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/255 |
| 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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