Axial Gauged Noncommutative U(2)/U(1) Wess-Zumino-Witten Model

TL;DR

This paper constructs and analyzes gauged noncommutative WZW models, focusing on the axial gauged noncommutative U(2)/U(1) model, and derives a noncommutative non-linear sigma model by integrating out gauge fields.

Contribution

It introduces new gauged noncommutative WZW models and derives a noncommutative sigma model from the axial gauged U(2)/U(1) case.

Findings

Successful construction of gauged noncommutative WZW models

Derivation of a noncommutative non-linear sigma model from the U(2)/U(1) case

Extension of noncommutative gauge theory frameworks

Abstract

We construct various kinds of gauged noncommutative WZW models. In particular, axial gauged noncommutative U(2)/U(1) WZW model is studied and by integrating out the gauge fields, we obtain a noncommutative non-linear $\sigma$-model.