English

Operator algebra of the 4D W_3 string

High Energy Physics - Theory 2016-09-06 v1

Abstract

The noncritical 4D4D \cW3\cW_3 string is a model of \cW3\cW_3 gravity coupled to two free scalar fields. In this paper we discuss its BRST quantization in direct analogy with that of the 2D2D (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)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

Keywords

Cite

@article{arxiv.hep-th/9509121,
  title  = {Operator algebra of the 4D W_3 string},
  author = {Peter Bouwknegt and Jim McCarthy and Krzysztof Pilch},
  journal= {arXiv preprint arXiv:hep-th/9509121},
  year   = {2016}
}

Comments

15 pages; uses macros tables.tex and amssym.def (version 2.1 or later)

R2 v1 2026-07-22T15:56:22.071Z