Supersymmetric Particles in N=2 Superspace: Phase Space Variables and Hamilton Dynamics

摘要

We consider a reparametrization invariant model recently proposed based on the N-extended superPoincare group with central charges, which leads to trajectories on the N-extended Salam-Strathdee superspace. The case N=2 is discussed in detail. We show that the N=2 model is invariant under four real supergauge transformations generated by first class odd constraints which imply the Dirac equation. We introduce one bosonic (which fixes the reparametrization) and four real spinorial (which fix the supergauges) gauge conditions and calculate the Dirac brackets for the remaining unconstrained variables (x-vector,p-vector,thetasup( alpha ),theta-barsup( alpha -dot)). The equations of motion are written in Hamiltonian form, with H varies as to Tr set containing Qsub( alpha i),Q-barsub( beta -doti) and correspond to the Heisenberg equations of the (first) quantized theory. (Atomindex citation 15:014579)