English

Projective modules over the fuzzy four-sphere

High Energy Physics - Theory 2009-11-07 v1

Abstract

We describe how to reduce the fuzzy four-sphere algebra to a set of four independent raising and lowering oscillator operators. In terms of them we derive the projector valued operators for the fuzzy four-sphere, which are the global definition of k-instanton connections over this noncommutative base manifold.

Cite

@article{arxiv.hep-th/0210166,
  title  = {Projective modules over the fuzzy four-sphere},
  author = {Paolo Valtancoli},
  journal= {arXiv preprint arXiv:hep-th/0210166},
  year   = {2009}
}

Comments

11 pages, LaTeX, no figures