Superparticles, Twistors and Siegel Symmetry

Sorokin, Dmitri P.; Tkach, V.I.; Volkov, D.V.

doi:10.1142/S0217732389001064

Superparticles, Twistors and Siegel Symmetry

Apr, 1988

8 pages

Published in:

Mod.Phys.Lett.A 4 (1989) 901-908

DOI:

10.1142/S0217732389001064

Report number:

KFTI-88-31

View in:

AMS MathSciNet

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Abstract: (WSP)

It is shown that an explicit incorporation of twistor variables into the lagrangian of a massless relativistic particle together with the local supersymmetrization of its proper time leads to a lagrangian which is invariant under the space-time global supersymmetry. The equivalence of the Siegel symmetry and the local proper-time supersymmetry with a complexified Grassmann parameter is established. The Siegel algebra is formed by an irreducible set of covariant constraints and is closed off-shell.

MECHANICS: CLASSICAL
SUPERSYMMETRY: SUPERSPACE
QUANTIZATION: CONSTRAINT
MATHEMATICAL METHODS: TWISTOR

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