Matrix Bases for Star Products: a Review

Symmetry Integrability and Geometry-Methods and Applications

article

Fedele Lizzi¹  Patrizia Vitale¹ 

[1] Dipartimento di Fisica, Università di Napoli Federico II;INFN;Institut de Ciéncies del Cosmos

关键词: noncommutative geometry;    star products;    matrix models;   

DOI  :  10.3842/SIGMA.2014.086

来源: National Academy of Science of Ukraine

【 摘 要 】

We review the matrix bases for a family of noncommutative $\star$ 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.

【 授权许可】

Unknown