Twisted Parafermions
Xiang-Mao Ding, Mark. D. Gould, Yao-Zhong Zhang
TL;DR
This paper introduces twisted parafermions, a new class of nonlocal currents with fractional spins, and constructs a related conformal field theory with applications to twisted affine current algebra representations.
Contribution
It presents the discovery of twisted parafermions, their algebraic structure, and a new conformal field theory framework involving these currents.
Findings
Defined twisted parafermions and their algebraic relations
Constructed a new conformal field theory from twisted parafermions
Provided a parafermionic representation of twisted affine algebra A^{(2)}_2
Abstract
A new type of nonlocal currents (quasi-particles), which we call twisted parafermions, and its corresponding twisted -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 is given.
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