Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-03-30
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, USC-93/14, ADP-93-203/M17
Scientific paper
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)
Bouwknegt Peter
McCarthy J. J.
Pilch Krzysztof
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