Dolan, Brian P. and Huet, Idrish and Murray, Sean and O’Connor, Denjoe (2008) A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces. Journal of High Energy Physics, 2008 (03-029). pp. 1-25. ISSN 1126-6708
![[img]](https://mural.maynoothuniversity.ie/style/images/fileicons/application_pdf.png) |
Download (240kB)
|
Abstract
We present a universal Dirac operator for noncommutative spin and spinc bundles over fuzzy complex projective spaces. We give an explicit construction of these bundles, which are described in terms of finite dimensional matrices, calculate the spectrum and explicitly exhibit the Dirac eigenspinors. To our knowledge the spinc spectrum for CPn with n ≥ 3 is new.
| Item Type: | Article |
|---|---|
| Additional Information: | Preprint version of published article. The original publication is available at www.springerlink.com. |
| Keywords: | Dirac operator; noncommutative spin bundles; fuzzy complex projective spaces; non-commutative; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 2677 |
| Identification Number: | https://doi.org/10.1088/1126-6708/2008/03/029 |
| Depositing User: | Dr. Brian Dolan |
| Date Deposited: | 26 Aug 2011 15:32 |
| Journal or Publication Title: | Journal of High Energy Physics |
| Publisher: | Institute of Physics |
| Refereed: | No |
| 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 |
Repository Staff Only(login required)
 |
Item control page |
Downloads
Downloads per month over past year
Altmetric
Altmetric