W-symmetries on the Homogeneous Space G/U(1)^r

Xiang-Mao Ding, Pei Wang

A construction of $W$-symmetries is given only in terms of the nonlocal fields (parafermions ${\ps}_{\al}$), which take values on the homogeneous space $G/U(1{)}^r$, where $G$ is a s…