Bosonization of parafermions and related conformal models: W sub N -algebras

Journal Article · Thu Feb 28 23:00:00 EST 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90008-V· OSTI ID:5674273

Narganes-Quijano, F J ^[1]

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1. Univ. Libre de Bruxelles, Brussels (Belgium)

Following a coset-inspired construction, the author obtains a representation of the symmetry currents of a large number of extended conformal models in terms of free bosonic fields. In particular he bosonizes the (Z{sub N}), (D{sub 3}), and (D{sub 4}) parafermionic current algebras and some conformal models closely related to them. The bosonized expression of the Z{sub N} parafermionic currents gives rise to a set of local currents that can be identified, up to null-current, with a W{sub N}-algebra; the hidden connection between the (Z{sub N}) parafermions and the (W{sub N}){sup p = N+1} non-linearly extended conformal models is thus exhibited in a manifest way. A special feature of this W{sub N}-algebra is its realization in terms of only two bosonic fields.

• OSTI ID: 5674273
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 206:2; ISSN APNYA; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COMPOSITE MODELS
CONFORMAL INVARIANCE
CURRENT ALGEBRA
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
PARTICLE MODELS
QUARK MODEL
STRING MODELS
SYMMETRY