Is covariant star product unique?

TL;DR

This paper discusses the non-uniqueness of covariant star products in deformation quantization and presents a covariant approach to resolve this issue, with implications for noncommutative gravity.

Contribution

It introduces a covariant method to address the non-uniqueness problem of star products in deformation quantization.

Findings

A covariant resolution to star product non-uniqueness

Implications for noncommutative gravity discussed

Potential for further developments in deformation quantization

Abstract

We give a nontechnical introduction to the problem of non-uniqueness of star products and describe a covariant resolution of this problem. Some implications (e.g., for noncommutative gravity) and further prospects are discussed.