%0 Journal Article
%T On the BRST structure of W_3 gravity coupled to c=2 matter
%A P. Bouwknegt
%A J. McCarthy
%A K. Pilch
%J Physics
%D 1993
%I arXiv
%X We present some explicit results on the structure of singular vectors in $c=2$ Verma modules of the $\cW_3$ algebra. Using the embedding patterns of those vectors we construct resolutions for the $c=2$ irreducible modules, and thus are able to compute some of the BRST cohomology of $\cW_3$ gravity coupled to $c=2$ matter. In particular, we determine the states in the ground ring of the theory. (To appear in the proceedings of the AMS Special Session on "Geometry and Physics", USC, Los Angeles, November 5-6, 1992)
%U http://arxiv.org/abs/hep-th/9303164v1