Gauged noncommutative Wess–Zumino–Witten models Original Research Article

We investigate the Kac–Moody algebra of noncommutative Wess–Zumino–Witten model and find its structure to be the same as the commutative case. Various kinds of gauged noncommutative WZW models are constructed. In particular, noncommutative U(2)/U(1) WZW model is studied and by integrating out the gauge fields, we obtain a noncommutative non-linear σ-model.