The third parafermionic chiral algebra with the symmetry Z_{3}

Abstract

We have constructed the parafermionic chiral algebra with the principal parafermionic fields Ψ,Ψ^{+} having the conformal dimension Δ_Ψ=8/3 and realizing the symmetry Z_{3}.

6 pages, no figure

References in corpus (4)

• Conformal field theories with Z_N and Lie algebra symmetries
• Parafermionic theory with the symmetry Z_N, for N odd
• Parafermionic theory with the symmetry Z_N, for N even
• Parafermionic theory with the symmetry Z_5

Cited by in corpus (8)

• Non-Abelian Quantum Hall States and their Quasiparticles: from the Pattern of Zeros to Vertex Algebra
• Clustering properties, Jack polynomials and unitary conformal field theories
• Electron-Quasihole Duality and Second Order Differential Equation for Read-Rezayi and Jacks Wavefunctions
• The Z_k^(su(2),3/2) Parafermions
• Algebraic approach to parafermionic conformal field theories
• Fractional Quantum Hall Matrix Product States For Interacting Conformal Field Theories
• Parafermionic chiral algebra Z_{3} with the dimension of the principal parafermion fields psi(z), psi^{+}(z), Delta_{psi}=8/3
• Two more solutions for the parafermionic chiral algebra Z_{3} with the dimension of the principal parafermionic fields, psi(z), psi^{+}(z), Delta_{psi}=8/3