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

Chuan-Jie Zhu

doi:10.1016/0550-3213(94)90252-6

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

High Energy Physics - Theory 2009-10-22 v2

Authors: Chuan-Jie Zhu

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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.

Keywords

BRST quantization W algebras nilpotent condition ghost fields canonical transformation

Cite

@article{arxiv.hep-th/9306026,
  title  = {The BRST quantization of the nonlinear $WB_2$ and $W_4$ algebras},
  author = {Chuan-Jie Zhu},
  journal= {arXiv preprint arXiv:hep-th/9306026},
  year   = {2009}
}

Comments

24 pages, phyzzx, revised version, about 50% modified

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