Graded parafermions: standard and quasiparticle bases |
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Authors: | P. Jacob P. Mathieu |
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Affiliation: | Département de physique, Université Laval, Laval, QC, G1K 7P4 Canada |
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Abstract: | Two bases of states are presented for modules of the graded parafermionic conformal field theory associated to the coset . 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 quasiparticle basis, determined in terms of a modified version of the exclusion principle. A novel feature of this model is that none of its bases are fully ordered and this reflects a hidden structural exclusion principle. |
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