Wess–Zumino–Witten and fermion models in noncommutative space Original Research Article

We analyze the connection between Wess–Zumino–Witten and free fermion models in two-dimensional noncommutative space. Starting from the computation of the determinant of the Dirac operator in a gauge field background, we derive the corresponding bosonization recipe studying, as an example, bosonization of the U(N) Thirring model. Concerning the properties of the noncommutative Wess–Zumino–Witten model, we construct an orbit-preserving transformation that maps the standard commutative WZW action into the noncommutative one.