TY - JOUR
T1 - The algebraic structure of BRST quantization
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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U2 - 10.1016/0370-2693(86)90712-4
DO - 10.1016/0370-2693(86)90712-4
M3 - Article
AN - SCOPUS:22244469696
SN - 0370-2693
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
IS - 2
ER -