W(3)-ALGEBRA CONSTRUCTED FROM THE SU(3) PARAFERMION

Authors
DING XM FAN H SHI KJ WANG P ZHU CY
Citation
Xm. Ding et al., W(3)-ALGEBRA CONSTRUCTED FROM THE SU(3) PARAFERMION, Nuclear physics. B, 422(1-2), 1994, pp. 307-328
Citations number
43
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
422
Issue
1-2
Year of publication
1994
Pages
307 - 328
Database
ISI
SICI code
0550-3213(1994)422:1-2<307:WCFTSP>2.0.ZU;2-N
Abstract
A construction of a W3-algebra for the SU(3) parafermion is proposed. The details of the calculation are given, in which the Z-algebra techn ique is used instead of the popular free field realization. We find th at the W3-algebra is closed at level k = 3, and the central charge of the underlying algebra is different from known series of Fateev-Lykyan ov W-algebras; as a by-product we get a field T(4)(z), whose conformal dimension is 4, and is null at k = 3.