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Bosonization of parafermions and related conformal models: WN-algebras

par Narganes-Quijano, Francisco
Référence Annals of physics, 206, 2, page (494-525)
Publication Publié, 1991-02

Article révisé par les pairs

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Résumé :

Following a coset-inspired construction, we obtain a representation of the symmetry currents of a large number of extended conformal models in terms of free bosonic fields. In particular we bosonize the [ZN], [D3], and [D4] parafermionic current algebras and some conformal models closely related to them. The bosonized expression of the ZN parafermionic currents gives rise to a set of local currents that can be identified, up to null-currents, with a WN-algebra; the hidden connection between the [ZN] parafermions and the [WN]p = N + 1 non-linearly extended conformal models is thus exhibited in a manifest way. A special feature of this WN-algebra is its realization in terms of only two bosonic fields. © 1991.