Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1991-09-20
Phys.Lett. B272 (1991) 25-30
Physics
High Energy Physics
High Energy Physics - Theory
15 pages
Scientific paper
10.1016/0370-2693(91)91006-H
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.
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