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Symmetry 2014, 6(1), 67-88; doi:10.3390/sym6010067

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

1,* , 2
1 Department of Mathematics, University of Alberta, Edmonton, AB T6G 2G1, Canada 2 Department of Physics & Astronomy, Howard University, Washington, DC 20059, USA 3 Natural Science Division, Pepperdine University, Malibu, CA 91301, USA 4 Mathematics Program, Bard College, Annandale-on-Hudson, NY 12504, USA
* Author to whom correspondence should be addressed.
Received: 19 December 2013 / Revised: 20 January 2014 / Accepted: 22 January 2014 / Published: 3 February 2014
(This article belongs to the Special Issue Supersymmetry 2014)
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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.
Keywords: supersymmetry; off-shell supermultiplet; quantum theory supersymmetry; off-shell supermultiplet; quantum theory
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Doran, C.F.; Hübsch, T.; Iga, K.M.; Landweber, G.D. On General Off-Shell Representations of World Line (1D) Supersymmetry. Symmetry 2014, 6, 67-88.

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