Author/Authors :
Liu Zhao and Xiang-Mao Ding، نويسنده , , Mark D. Gould، نويسنده , , Yao-zhong Zhang، نويسنده ,
Abstract :
A new type of nonlocal currents (quasi-particles), which we call twisted parafermions, and its corresponding twisted Z-algebra are found. The system consists of one spin-1 bosonic field and six nonlocal fields of fractional spins. Jacobi-type identities for the twisted parafermions are derived, and a new conformal field theory is constructed from these currents. As an application, a parafermionic representation of the twisted affine current algebra A(2)2 is given.