The algebraic structure of BRST quantization

Mark J. Bowick; Feza Gürsey

doi:10.1016/0370-2693(86)90712-4

The algebraic structure of BRST quantization

Mark J. Bowick, Feza Gürsey

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 B
Volume	175
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(86)90712-4
State	Published - Jul 31 1986
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(86)90712-4

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title = "The algebraic structure of BRST quantization",

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.",

author = "Bowick, {Mark J.} and Feza G{\"u}rsey",

note = "Funding Information: We would like to acknowledge stimulating conversations with Gregg Zuckerman and Tom Banks. This research was supported in part by the US Department of Energy under Contract No. DE-AC02-76ERO 3075.",

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AU - Bowick, Mark J.

AU - Gürsey, Feza

N1 - Funding Information: We would like to acknowledge stimulating conversations with Gregg Zuckerman and Tom Banks. This research was supported in part by the US Department of Energy under Contract No. DE-AC02-76ERO 3075.

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.

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JO - Physics Letters B

JF - Physics Letters B

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The algebraic structure of BRST quantization

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