### Abstract

It is shown that a system of first-class bosonic constraints obeying a Lie algebra has associated with it a natural superalgebra. BRST quantization arises as a non-linear representation of this superalgebra. Two distinct superalgebras are explicitly constructed and their associated BRST quantizations presented. The first BRST quantization is the canonical one with the BRST charge a grassmannian scalar. The second is new - the BRST charge is a grassmannian spinor transforming in the fundamental representation of the appropriate superalgebra. Generalizations are briefly discussed.

Original language | English (US) |
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Pages (from-to) | 182-186 |

Number of pages | 5 |

Journal | Physics Letters B |

Volume | 175 |

Issue number | 2 |

DOIs | |

State | Published - Jul 31 1986 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Bowick, M. J., & Gürsey, F. (1986). The algebraic structure of BRST quantization.

*Physics Letters B*,*175*(2), 182-186. https://doi.org/10.1016/0370-2693(86)90712-4