TWISTOR-LIKE SUPERPARTICLES REVISITED.

Abstract

We consider a formulation of N=1 D=3,4 and 6 superparticle mechanics, which is manifestly supersymmetric on the worldline and in the target superspace. For the construction of the action we use only geometrical objects that characterize the embedding of the worldline superspace into the target superspace, such as target superspace coordinates of the superparticle and twistor components. The action does not contain the Lagrange multipliers which may cause the problem of infinite reducible symmetries, and, in fact, is a worldline superfield generalization of the supertwistor description of superparticle dynamics.

16 pages, LaTeX file. Transmission error corrected.

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• Supertwistor formulation for higher dimensional superstrings
• Multitwistor mechanics of massless superparticle on $Ad{S}_5\times S^5$ superbackground
• Canonical description of D=10 superstring formulated in supertwistor space
• New Superembeddings for Type II Superstrings
• Mapping between the classical and pseudoclassical models of a relativistic spinning particle in external bosonic and fermionic fields. I
• Towards the M(atrix) model action in an arbitrary 11D supergravity background. Progress report
• Mapping between the classical and pseudoclassical models of a relativistic spinning particle in external bosonic and fermionic fields. II