A family of Weyl λ-BMS algebras is realized canonically from a Klein-Gordon field, centrally extended, and shown to have BRST cohomology matching an N=2 superconformal chiral ring, while the conformal BMS W-algebra is shown to admit no BRST complex.
The BRST quantization of the nonlinear $WB_2$ and $W_4$ algebras
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abstract
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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BMS-like algebras: canonical realisations and BRST quantisation
A family of Weyl λ-BMS algebras is realized canonically from a Klein-Gordon field, centrally extended, and shown to have BRST cohomology matching an N=2 superconformal chiral ring, while the conformal BMS W-algebra is shown to admit no BRST complex.