Twisted Parafermions

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.

RevTex 5 pages; Cosmetic changes, to appear in Phys.Lett.B

References in corpus (1)

• Geometrical interpretation of D-branes in gauged WZW models

Cited by in corpus (6)

• Non-Abelian Quantum Hall States and their Quasiparticles: from the Pattern of Zeros to Vertex Algebra
• The Z_k^(su(2),3/2) Parafermions
• Algebraic approach to parafermionic conformal field theories
• K-matrices for 2D conformal field theories
• $A_2^{(2)}$ Parafermions: A New Conformal Field Theory
• Realizations of Affine Lie Algebra A_^(1) at Negative Levels