Noncommutative Gauge Theory on the q-Deformed Euclidean Plane

TL;DR

This paper explores noncommutative gauge theories on a q-deformed Euclidean plane, constructing a Seiberg-Witten map to relate noncommutative and commutative fields, highlighting the structure and covariance of the deformed space.

Contribution

It introduces a framework for noncommutative gauge theories on the q-deformed Euclidean plane and constructs a Seiberg-Witten map for these models.

Findings

Covariance under q-deformed Euclidean group established

Seiberg-Witten map explicitly constructed

Framework for noncommutative gauge theories on q-deformed spaces

Abstract

In this talk we recall some concepts of Noncommutative Gauge Theories. In particular, we discuss the q-deformed two-dimensional Euclidean Plane which is covariant with respect to the q-deformed Euclidean group. A Seiberg-Witten map is constructed to express noncommutative fields in terms of their commutative counterparts.