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

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

Department of Mathematics, University of Alberta, Edmonton, AB T6G 2G1, Canada
Department of Physics & Astronomy, Howard University, Washington, DC 20059, USA
Natural Science Division, Pepperdine University, Malibu, CA 91301, USA
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)


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 3.0).

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MDPI and ACS Style

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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