Deformation of the Wakimoto construction
  We present the extension of the Wakimoto construction to the $su(2)_k$ quantum current algebra and its associated $Z_k$ quantum parafermion algebra. This construction is achieved in terms of various deformations of three classical free boson fields. We also give the vertex operators corresponding to the quantum spin-$j$ representation. 
A. Abada, A.H. bougourzi and M.A. El Gradechi