A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces
High Energy Physics - Theory
2008-11-26 v3
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.
Keywords
Cite
@article{arxiv.0711.1347,
title = {A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces},
author = {Brian P. Dolan and Idrish Huet and Sean Murray and Denjoe O'Connor},
journal= {arXiv preprint arXiv:0711.1347},
year = {2008}
}
Comments
25 pages, typeset in LaTeX, uses youngtab package, v3 updates to published version and includes a minor correction in the conclusions