Parafermionic theory with the symmetry Z_5

Details Parafermionic theory with the symmetry Z_5 Parafermionic theory with the symmetry Z_5

2002-12-13

arxiv.org/abs/hep-th/0212158v1

Nucl.Phys. B656 (2003) 259-324

Physics

High Energy Physics

High Energy Physics - Theory

98 pages, 21 eps figures

Scientific paper

10.1016/S0550-3213(03)00066-X

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

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