Covariant spinor representation of $iosp(d,2/2)$ and quantization of the spinning relativistic particle

Details Covariant spinor representation of $iosp(d,2/2)$ and quantization of the spinning relativistic particle Covariant spinor representation of $iosp(d,2/2)$ and quantization of the spinning relativistic particle

1999-07-31

arxiv.org/abs/hep-th/9908002v2

J.Phys.A32:8507-8525,1999

Physics

High Energy Physics

High Energy Physics - Theory

Updated version with references included and covariant form of equation 1. 23 pages, no figures

Scientific paper

10.1088/0305-4470/32/48/311

A covariant spinor representation of $iosp(d,2/2)$ is constructed for the quantization of the spinning relativistic particle. It is found that, with appropriately defined wavefunctions, this representation can be identified with the state space arising from the canonical extended BFV-BRST quantization of the spinning particle with admissible gauge fixing conditions after a contraction procedure. For this model, the cohomological determination of physical states can thus be obtained purely from the representation theory of the $iosp(d,2/2)$ algebra.

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