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A twistor-like D=10 superparticle action with manifest N=8 world-line supersymmetry

A. Galperin·E. Sokatchev
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Abstract

We propose a new formulation of the $D=10$ Brink-Schwarz superparticle which is manifestly invariant under both the target-space super-Poincaré group and the world-line local $N=8$ superconformal group. This twistor-like construction naturally involves the sphere $S^8$ as a coset space of the $D=10$ Lorentz group. The action contains only a finite set of auxiliary fields, but they appear in unusual trilinear combinations. The origin of the on-shell $D=10$ fermionic $κ$ symmetry of the standard Brink-Schwarz formulation is explained. The coupling to a $D=10$ super-Maxwell background requires a new mechanism, in which the electric charge appears only on shell as an integration constant.

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A. Galperin, E. Sokatchev. 1992-03-18. A twistor-like D=10 superparticle action with manifest N=8 world-line supersymmetry. https://doi.org/10.1103/physrevd.46.714

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