The BRST quantization of the nonlinear $WB_2$ and $W_4$ algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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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