### 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) |
---|---|

Pages (from-to) | 182-186 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 175 |

Issue number | 2 |

DOIs | |

State | Published - Jul 31 1986 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

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

**The algebraic structure of BRST quantization.** / Bowick, Mark John; Gürsey, Feza.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 175, no. 2, pp. 182-186. https://doi.org/10.1016/0370-2693(86)90712-4

}

TY - JOUR

T1 - The algebraic structure of BRST quantization

AU - Bowick, Mark John

AU - Gürsey, Feza

PY - 1986/7/31

Y1 - 1986/7/31

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=22244469696&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22244469696&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(86)90712-4

DO - 10.1016/0370-2693(86)90712-4

M3 - Article

AN - SCOPUS:22244469696

VL - 175

SP - 182

EP - 186

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 2

ER -