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Twisted Parafermions

Xiang-Mao Ding·Mark. D. Gould·Yao-Zhong Zhang
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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.

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Xiang-Mao Ding, Mark. D. Gould, Yao-Zhong Zhang. 2002-02-04. Twisted Parafermions. https://doi.org/10.1016/s0370-2693(02)01319-9

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