Generalized action principle and extrinsic geometry for 1 superparticles

Abstract

We propose a generalized action for N = 1 superparticles in D = 3,4,6 and 10 spacetime dimensions in terms of the extrinsic geometry of the worldline superspace. The superfield equations of motion are derived. The off-shell superdiffeomorphism invariance (in the rheonomic sense) of the superparticle generalized action is demonstrated. We show that half of the fermionic and one bosonic (super)fields disappear from the generalized action in the analytical basis. We also derive the equations of motion for a superparticle interacting with an Abelian gauge field.