The Z
نویسندگان
چکیده
We introduce a novel parafermionic theory for which the conformal dimension of the basic parafermion is 3 2 (1 − 1/k), with k even. The structure constants and the central charges are obtained from mode-type associativity calculations. The spectrum of the completely reducible representations is also determined. The primary fields turns out to be labeled by two positive integers instead of a single one for the usual parafermionic models. The simplest singular vectors are also displayed. It is argued that these models are equivalent to the non-unitary minimal W k (k + 1, k + 3) models. More generally, we expect all W k (k + 1, k + 2β) models to be identified with generalized parafermionic models whose lowest dimensional parafermion has dimension β(1 − 1/k).
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