Parafermions for higher order extensions of the Poincaré algebra and their associated superspace

@article{CampoamorStursberg2009ParafermionsFH,
  title={Parafermions for higher order extensions of the Poincar{\'e} algebra and their associated superspace},
  author={Rutwig Campoamor-Stursberg and Michel Rausch de Traubenberg},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2009},
  volume={42},
  pages={495202}
}
Parafermions of orders 2 and 3 are shown to be the fundamental tool to construct superspaces related to cubic and quartic extensions of the Poincaré algebra. The corresponding superfields are constructed, and some of their main properties are analyzed in detail. In this context, the existence problem of operators acting like covariant derivatives is analyzed, and the associated operators are explicitly constructed. 

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