Abstract
In this paper we show that, with reparametrization of supergroup, superspace as the homogenous space of it will be linearized, superfield will be defined uniquely, vector coordinates and spinor coordinates will play the equal rôle… We can list all possible subgroups of supergroup easily in this way of parametrization. The representation of this algebra will be given. The linearization of superspace would lead to new approaches to construct geometrical structures on it. The Abelian translation group would make easier the construction of the harmonic analysis on it. Last of all, theSU(N) internal symmetry of extended superunified theories would be manifest in these models.
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Viet, N.A. Reparametrization of supergroup: Superspace as a vectorspace. Acta Physica Hungarica 54, 353–359 (1983). https://doi.org/10.1007/BF03053766
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DOI: https://doi.org/10.1007/BF03053766