Reference : On a Z2n-Graded Version of Supersymmetry
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Physics and Materials Science
http://hdl.handle.net/10993/38457
On a Z2n-Graded Version of Supersymmetry
English
Bruce, Andrew mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
19-Jan-2019
Symmetry
11(1)
116
Yes
International
[en] Z2n-manifolds ; supersymmetry ; superspace methods
[en] We extend the notion of super-Minkowski space-time to include Zn2 -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 Zn2 -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.
Researchers
http://hdl.handle.net/10993/38457
10.3390/sym11010116
https://www.mdpi.com/2073-8994/11/1/116

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