### Abstract

We demonstrate that the BRST charge operator is the generator of a nonlinear (fractional linear) transformation within the supergroup obtained by exponentiating the superalgebra whose even part is a set of first class bosonic constraints forming a Lie algebra and whose odd part is composed of the conjugate ghost operators and the BRST charge. Two alternative constructions are given. In the first the charge is the conventional singlet and in the second it is a spinor. The two constructions correspond to embedding the bosonic Lie algebra in two different superalgebras.

Original language | English (US) |
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Pages (from-to) | 331-341 |

Number of pages | 11 |

Journal | Nuclear Physics, Section B |

Volume | 283 |

Issue number | C |

DOIs | |

State | Published - 1987 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Bowick, M. J., & Gürsey, F. (1987). The BRST charge operator as a generator of nonlinear transformations of the constraint superalgebra.

*Nuclear Physics, Section B*,*283*(C), 331-341. https://doi.org/10.1016/0550-3213(87)90276-8