The W_3 algebra: modules, semi-infinite cohomology and BV-algebras
arXiv:hep-th/9509119 · doi:10.1007/978-3-540-68719-1
Abstract
The noncritical string is a model of gravity coupled to two free scalar fields. In this paper we discuss its BRST quantization in direct analogy with that of the (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 . In this paper we attempt to present a complete summary of the progress made in these studies. [...]
144 pages; 23 uuencoded ps figures; uses macros tables.tex, epsf and amssym.def (version 2.1 or later)
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