A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces
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 AbstractWe 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.
| Additional Information: | Preprint version of published article. The original publication is available at www.springerlink.com. |
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| Keywords: | Dirac operator; noncommutative spin bundles; fuzzy
complex projective spaces; non-commutative; |
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| Subjects: | Science & Engineering > Mathematical Physics |
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| ID Code: | 2677 |
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| Deposited By: | Dr. Brian Dolan |
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| Deposited On: | 26 Aug 2011 16:32 |
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| Journal or Publication Title: | Journal of High Energy Physics |
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| Publisher: | Institute of Physics |
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| Refereed: | No |
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| URL: | http://www.iop.org/, http://www.springerlink.com/ |
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