BRST cohomology of the critical $W_4$ string

Details BRST cohomology of the critical $W_4$ string BRST cohomology of the critical $W_4$ string

1994-01-31

arxiv.org/abs/hep-th/9401164v1

Class.Quant.Grav.11:1941-1960,1994

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTeX, UG-1/94

Scientific paper

10.1088/0264-9381/11/8/003

We study the cohomology of the critical $W_4$ string using the $W_4$ BRST charge in a special basis in which it contains three separately nilpotent BRST charges. This allows us to obtain the physical operators in three steps. In the first step we obtain the cohomology associated to a spin-four constraint only, and it contains operators of the $c={4\over5}$ $W_3$ minimal model. In the next step, where the spin-three constraint is added, these operators get dressed to operators of the $c={7\over10}$ Virasoro minimal model. Finally, the Virasoro constraint is added to obtain the cohomology of the critical $W_4$ string. We describe the structure of the complete cohomology and compare with other results.

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