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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, IA 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 GeneralVolume
32Issue
48Pagination
8507-8525ISSN
0305-4470Department/School
School of Natural SciencesPublisher
IOP Publishing LtdPlace of publication
Reading, UKRepository Status
- Restricted