Examples of derivation-based differential calculi related to noncommutative gauge theories

TL;DR

This paper reviews derivation-based differential calculi used in noncommutative gauge theories, comparing different models to highlight their structures and applications in mathematical physics.

Contribution

It presents and comments on various derivation-based differential calculi employed in noncommutative gauge theories, offering comparative insights.

Findings

Different calculi are characterized and contrasted.

Connections between calculi and gauge theory models are analyzed.

The paper clarifies the mathematical structures underlying noncommutative gauge theories.

Abstract

Some derivation-based differential calculi which have been used to construct models of noncommutative gauge theories are presented and commented. Some comparisons between them are made.