Physics – High Energy Physics – High Energy Physics - Theory
144 pages; 23 uuencoded ps figures; uses macros tables.tex, epsf and amssym.def (version 2.1 or later)
The noncritical $D=4$ $W_3$ string is a model of $W_3$ gravity coupled to two free scalar fields. In this paper we discuss its BRST quantization in direct analogy with that of the $D=2$ (Virasoro) string. In particular, we calculate the physical spectrum as a problem in BRST cohomology. The corresponding operator cohomology forms a BV-algebra. We model this BV-algebra on that of the polyderivations of a commutative ring on six variables with a quadratic constraint, or, equivalently, on the BV-algebra of (polynomial) polyvector fields on the base affine space of $SL(3,C)$. In this paper we attempt to present a complete summary of the progress made in these studies. [...]
McCarthy J. J.
The W_3 algebra: modules, semi-infinite cohomology and BV-algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.If you have personal experience with The W_3 algebra: modules, semi-infinite cohomology and BV-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The W_3 algebra: modules, semi-infinite cohomology and BV-algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-704150