Graded parafermions: standard and quasi-particle bases

Details Graded parafermions: standard and quasi-particle bases Graded parafermions: standard and quasi-particle bases

2002-01-20

arxiv.org/abs/hep-th/0201156v2

Nucl.Phys. B630 (2002) 433-452

Physics

High Energy Physics

High Energy Physics - Theory

Harvmac 24 p; minor corrections in eqs 5.2 and 5.5

Scientific paper

10.1016/S0550-3213(02)00129-3

Two bases of states are presented for modules of the graded parafermionic conformal field theory associated to the coset $\osp(1,2)_k/\uh(1)$. The first one is formulated in terms of the two fundamental (i.e., lowest dimensional) parafermionic modes. In that basis, one can identify the completely reducible representations, i.e., those whose modules contain an infinite number of singular vectors; the explicit form of these vectors is also given. The second basis is a quasi-particle basis, determined in terms of a modified version of the $\ZZ_{2k}$ exclusion principle. A novel feature of this model is that none of its bases are fully ordered and this reflects a hidden structural $\Z_3$ exclusion principle.

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