A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces
arXiv:0711.1347 · doi:10.1088/1126-6708/2008/03/029
Abstract
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.
25 pages, typeset in LaTeX, uses youngtab package, v3 updates to published version and includes a minor correction in the conclusions