A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces

Details A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces

2007-11-08

arxiv.org/abs/0711.1347v3

JHEP0803:029,2008

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, typeset in LaTeX, uses youngtab package, v3 updates to published version and includes a minor correction in the conc

Scientific paper

10.1088/1126-6708/2008/03/029

We present a universal Dirac operator for noncommutative spin and spin^c
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 spin^c spectrum for CP^n with n>=3 is new.

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