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

journal contribution
posted on 2023-05-16, 11:44 authored by Peter JarvisPeter Jarvis, Stuart CorneyStuart Corney, Tsohantjis, I
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.

History

Publication title

Journal of Physics A-Mathematical and General

Volume

32

Issue

48

Pagination

8507-8525

ISSN

0305-4470

Department/School

School of Natural Sciences

Publisher

IOP Publishing Ltd

Place of publication

Reading, UK

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the physical sciences

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