Matrix Bases for Star Products: a Review
High Energy Physics - Theory
2014-08-18 v2
Abstract
We review the matrix bases for a family of noncommutative products based on a Weyl map. These products include the Moyal product, as well as the Wick-Voros products and other translation invariant ones. We also review the derivation of Lie algebra type star products, with adapted matrix bases. We discuss the uses of these matrix bases for field theory, fuzzy spaces and emergent gravity.
Keywords
Cite
@article{arxiv.1403.0808,
title = {Matrix Bases for Star Products: a Review},
author = {Fedele Lizzi and Patrizia Vitale},
journal= {arXiv preprint arXiv:1403.0808},
year = {2014}
}