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On a ℤ2n-Graded Version of Supersymmetry

Mathematics Research Unit, University of Luxembourg, Maison du Nombre 6, Avenue de la Fonte, L-4364 Esch-sur-Alzette, Luxembourg
Symmetry 2019, 11(1), 116;
Received: 13 December 2018 / Revised: 15 January 2019 / Accepted: 16 January 2019 / Published: 19 January 2019
PDF [367 KB, uploaded 23 January 2019]


We extend the notion of super-Minkowski space-time to include Z 2 n -graded (Majorana) spinor coordinates. Our choice of the grading leads to spinor coordinates that are nilpotent but commute amongst themselves. The mathematical framework we employ is the recently developed category of Z 2 n -manifolds understood as locally ringed spaces. The formalism we present resembles N -extended superspace (in the presence of central charges), but with some subtle differences due to the exotic nature of the grading employed. View Full-Text
Keywords: 2n-manifolds; supersymmetry; superspace methods; parastatistics 2n-manifolds; supersymmetry; superspace methods; parastatistics
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Bruce, A.J. On a ℤ2n-Graded Version of Supersymmetry
. Symmetry 2019, 11, 116.

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