2007/11/30 by Brian P. Dolan, Idrish Huet, Sean Murray +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/03/029
published as JHEP0803:029,2008 · 25 pages, typeset in LaTeX, uses youngtab package, v3 updates to published version and includes a minor correction in the conclusions
openalex publication_date 2008/03/11 · arxiv created 2008/09/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.