Gupta-Bleuler quantization of massive superparticle models in 6, 8, and 10 dimensions.

Abstract

We consider D=6, 8, and 10 massive superparticle models, with the fermion mass generated by a central charge and with fermionic first-class constraints. We show that the D=6 and D=8 models with N=2 nonchiral supersymmetry can be covariantly quantized by using the Gupta-Bleuler method in the fermionic sector. For the D=10, N=2 model such a method implies the truncation D=10\ensuremath{\rightarrow}D=8. We also show on the D=6 example how to perform the massless limit, and how to extend the Siegel fermionic invariance to the massive case.