Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-10-18
Phys.Lett. B530 (2002) 197-201
Physics
High Energy Physics
High Energy Physics - Theory
RevTex 5 pages; Cosmetic changes, to appear in Phys.Lett.B
Scientific paper
10.1016/S0370-2693(02)01319-9
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.
Ding Xiang-Mao
Gould Mark D.
Zhang Yao-Zhong
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