Parafermionic theory with the symmetry Z_5
High Energy Physics - Theory
2010-04-05 v1 Condensed Matter
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0212158,
title = {Parafermionic theory with the symmetry Z_5},
author = {Vladimir Dotsenko and Jesper Lykke Jacobsen and Raoul Santachiara},
journal= {arXiv preprint arXiv:hep-th/0212158},
year = {2010}
}
Comments
98 pages, 21 eps figures