Chiral ring in the 4D W_3 string
Abstract
I summarize some recent results obtained in collaboration with P.~Bouwknegt and K.~Pilch on the spectrum of physical states in $\cW_3$ gravity coupled to $c=2$ matter. In particular, it is shown that the algebra of operators corresponding to physical states  defined as a semiinfinite (or BRST) cohomology of the $\cW_3$ algebra  carries the structure of a Galgebra. This Galgebra has a quotient which is isomorphic to the Galgebra of polyvector fields on the base affine space of $SL(3,\CC)$. Details have appeared elsewhere. To appear (with title change) in the proceedings of the ``H.S. Green and A. Hurst Festschrift: Confronting the Infinite'' Adelaide, March 1994.
 Publication:

arXiv eprints
 Pub Date:
 September 1995
 arXiv:
 arXiv:hepth/9509134
 Bibcode:
 1995hep.th....9134M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 13 pages