Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-06-04
Nucl.Phys. B418 (1994) 379-399
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, phyzzx, revised version, about 50% modified
Scientific paper
10.1016/0550-3213(94)90252-6
We construct the BRST operator for the nonlinear $WB_2$ and $W_4$ algebras. Contrary to the general belief, the nilpotent condition of the BRST operator doesn't determine all the coefficients. We find a three and seven parameter family of nilpotent BRST operator for $WB_2$ and $W_4$ respectively. These free parameters are related to the canonical transformation of the ghost antighost fields.
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