Parafermionic theory with the symmetry Z_5

Vladimir S. Dotsenko (1) , Jesper Lykke Jacobsen (2) , Raoul Santachiara (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

A parafermionic conformal theory with the symmetry Z_5 is constructed,based on the second solution of Fateev-Zamolodchikov for thecorresponding parafermionic chiral algebra.The primary operators of the theory, which are the singlet,doublet 1, doublet 2, and disorder operators, are foundto be accommodated by the weight lattice of the classical Liealgebra B_2. The finite Kac tables for unitary theoriesare defined and the formula for the conformal dimensionsof primary operators is given.

Mots clés: Conformal field theory

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Autre [cond-mat.other]

Vladimir S. Dotsenko, Jesper Lykke Jacobsen, Raoul Santachiara. Parafermionic theory with the symmetry Z_5. Nuclear Physics B, 2003, pp.259. ⟨hal-00000101⟩