On the BRST structure of W_3 gravity coupled to c=2 matter

Bouwknegt, P.; McCarthy, J.; Pilch, K.

On the BRST structure of W_3 gravity coupled to c=2 matter

Authors

Bouwknegt, P.

McCarthy, J.

Pilch, K.

Description

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)
14 pages, USC-93/14, ADP-93-203/M17