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

Authors
Jarvis, PD Corney, SP Tsohantjis, I
Citation
Pd. Jarvis et al., Covariant spinor representation of iosp(d, 2/2) and quantization of the spinning relativistic particle, J PHYS A, 32(48), 1999, pp. 8507-8525
Citations number
32
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
48
Year of publication
1999
Pages
8507 - 8525
Database
ISI
SICI code
0305-4470(199912)32:48<8507:CSROI2>2.0.ZU;2-7
Abstract
A covariant spinor representation of iosp(d, 2/2) is constructed for the qu antization of the spinning relativistic particle. It is found that, with ap propriately defined wavefunctions, this representation can be identified wi th the state space arising from the canonical extended BFV-BRST quantizatio n of the spinning particle with admissible gauge fixing conditions after a contraction procedure. For this model, the cohomological determination of p hysical slates can thus be obtained purely from the representation theory o f the iosp(d, 2/2) algebra.