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

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

2009-07-13

arxiv.org/abs/0907.2149v2

J.Phys.A42:495202,2009

Physics

High Energy Physics

High Energy Physics - Theory

20 pages LaTeX

Scientific paper

10.1088/1751-8113/42/49/495202

Parafermions of order two and three are shown to be the fundamental tool to construct superspaces related to cubic and quartic extensions of the Poincar\'e algebra. The corresponding superfields are constructed, and some of their main properties 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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