English

Invariant star-products on S^2 and the canonical trace

High Energy Physics - Theory 2009-11-10 v1 Quantum Algebra

Abstract

In the literature there are two different ways of describing an invariant star product on S2S^2. We show that the products are actually the same. We also calculate the canonical trace and use the Fedosov-Nest-Tsygan index theorem to obtain the characteristic class of this product.

Keywords

Cite

@article{arxiv.hep-th/0402031,
  title  = {Invariant star-products on S^2 and the canonical trace},
  author = {Keizo Matsubara and Mårten Stenmark},
  journal= {arXiv preprint arXiv:hep-th/0402031},
  year   = {2009}
}

Comments

10 pages, LaTeX