On General Off-Shell Representations of World Line (1D) Supersymmetry

Author： Doran Charles F. Hübsch Tristan Iga Kevin M. Landweber Gregory D.

Publisher： MDPI

E-ISSN： 2073-8994|6|1|67-88

ISSN： 2073-8994

Source： Symmetry, Vol.6, Iss.1, 2014-02, pp. : 67-88

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Abstract

Every finite-dimensional unitary representation of the N-extended world line supersymmetry without central charges may be obtained by a sequence of differential transformations from a direct sum of minimal Adinkras, simple supermultiplets that are identifiable with representations of the Clifford algebra. The data specifying this procedure is a sequence of subspaces of the direct sum of Adinkras, which then opens an avenue for the classification of the continuum of the so-constructed off-shell supermultiplets.