Quantization of the superparticle action in the FBF extended phase space

Abstract

Covariant quantization of the zero mode of the Green and Schwarz superstring—the superlattice is studied. The essence of this long lasting problem lies within the difficulty in covariant separation of first- and second-class constraints in these systems. A recent new approach of Faddeev, Batalin and Fradkin (FBF) which treats first- and second-class constraints in a symmetrical way is employed here. In the FBF extended phase space second-class constraints become first class and conventional BRST quantization techniques can be used. The method of FBF is compared to the Stuekelberg-type approach and general conclusions are drawn on restoration of local symmetries in extended phase space. The massive superparticle action is studied and Siegel's local fermionic symmetry in the extended phase space is discussed. The massless limit results here in two disjoint vector supermultiplets.