A KAPPA-SYMMETRY CALCULUS FOR SUPERPARTICLES

We develop a kappa-symmetry calculus for the d = 2 and d = 3, N = 2 massive superparticles, which enables us to construct higher order kappa-invariant actions. The method relies on a reformulation of these models as supersymmetric sigma models that are invariant under local worldline superconformal transformations. We show that the kappa-symmetry is embedded in the superconformal symmetry so that a calculus for the kappa-symmetry is equivalent to a tensor calculus for the latter. We develop such a calculus without the introduction of a worldline supergravity multiplet.