BRST QUANTIZATION OF SPINNING RELATIVISTIC-PARTICLES WITH EXTENDED SUPERSYMMETRIES

We perform the calculation of the transition amplitude for spinning relativistic particles with N-extended supersymmetries using the BRST-BFV technique. The resulting transition amplitude can be interpreted in a field theory context as the Feynman propagator for the field strength of a field with spin 1 2N. We also show that there is a global anomaly for odd dimensions so that the model is consistent only for even dimensions. The gauge invariance of the respective field theory does not become manifest in this formulation. © 1990.