W-symmetries on the Homogeneous Space G/U(1)^r

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dc.creatorDing, Xiang-Mao
dc.creatorWang, Pei
dc.date2000-03-07
dc.date.accessioned2026-07-07T04:09:37Z
dc.date.available2026-07-07T04:09:37Z
dc.descriptionA construction of $W$-symmetries is given only in terms of the nonlocal fields (parafermions ${\ps}_{\al}$), which take values on the homogeneous space $G/U(1)^r$, where $G$ is a simply connected compact Lie group manifold (its accompanying Lie algebra ${\cal G}$ is a simple one of rank $r$). Only certain restriction of the root set of Lie algebra on which the parafermionic fields take values are satisfied, then a consistent and non-trivial extension of the stress momentum tensor may exist. For arbitrary simple-laced algebras, i.e. the $A-D-E$ cases, a more detailed discussion is given. The OPE of spin three primary field are calculated, in which a primary field with spin four is emerging.
dc.description20 pages, Latex
dc.identifierhttps://arxiv.org/abs/hep-th/0003047
dc.identifierhttp://arxiv.org/abs/hep-th/0003047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/49917
dc.subjectHigh Energy Physics - Theory
dc.titleW-symmetries on the Homogeneous Space G/U(1)^r
dc.typetext

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