RT Journal Article T1 Parafermions for higher order extensions of the Poincaré algebra and their associated superspace A1 Campoamor-Stursberg, Rutwig A1 Rausch de Traubenberg, Michel AB 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 PB IOP Publishing Ltd SN 1751-8113 YR 2009 FD 2009 LK https://hdl.handle.net/20.500.14352/43778 UL https://hdl.handle.net/20.500.14352/43778 LA eng NO G. Gentile, Nuovo Cimento 17 (1940) 493.C. A. Nelson, J. Phys. A37 (2004) 2497.H. S. Green, Phys. Rev. 90 (1953) 270.Y. Ohnuki and S. Kamefuchi, Quantum Field Theory and Parastatistics Tokyo, Japan: Univ. Pr. 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