Aspects of noncommutative gauge theories and their commutative equivalents

TL;DR

This paper explores exact Seiberg--Witten maps in noncommutative electrodynamics and analyzes their impact on anomalies across noncommutative and commutative frameworks.

Contribution

It introduces specific Seiberg--Witten-type maps and examines their implications for anomalies in noncommutative and commutative gauge theories.

Findings

Explicit Seiberg--Witten maps derived

Anomalies in noncommutative and commutative theories compared

Implications for gauge theory consistency analyzed

Abstract

We discuss some exact Seiberg--Witten-type maps for noncommutative electrodynamics. Their implications for anomalies in different (noncommutative and commutative) descriptions are also analysed.