2000/03/07 by Xiang-Mao Ding, Pei Wang, Ding, Xiang-Mao +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0003047
20 pages, Latex
arxiv created 2000/03/07 · arxiv updated 2009/11/30
A 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.