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arXiv · hep-th/0602177

Relativistic particle dynamics in D=2+1

J. S. Valverde·M. Pazetti
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Abstract

We propose a SUSY variant of the action for a massless spinning particles via the inclusion of twistor variables. The action is constructed to be invariant under SUSY transformations and $τ$-reparametrizations even when an interaction field is including. The constraint analysis is achieved and the equations of motion are derived. The commutation relations obtained for the commuting spinor variables $λ$ show that the particle states have fractional statistics and spin. At once we introduce a possible massive term for the non-interacting model.

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J. S. Valverde, M. Pazetti. 2006-02-18. Relativistic particle dynamics in D=2+1. https://doi.org/10.1088/1126-6708%2F2006%2F08%2F037

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