1995/09/25 by Peter Bouwknegt, Bouwknegt, Peter, McCarthy, Jim +2
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Advanced Differential Geometry Research
paper · pdf · doi:10.48550/arxiv.hep-th/9509121
The noncritical 4D \cW3 string is a model of \cW3 gravity coupled to two free scalar fields. In this paper we discuss its BRST quantization in direct analogy with that of the 2D (Virasoro) string. The physical operators form 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,\CC). Details have appeared elsewhere. To appear in the proceedings of ``STRINGS '95: Future Perspectives in String Theory,'' USC, March 13--18, 1995