Next Article in Journal
Acknowledgement to Reviewers of Symmetry in 2018
Previous Article in Journal
MoSa: A Modeling and Sentiment Analysis System for Mobile Application Big Data
Article Menu
Issue 1 (January) cover image

Export Article

Open AccessArticle

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; https://doi.org/10.3390/sym11010116
Received: 13 December 2018 / Revised: 15 January 2019 / Accepted: 16 January 2019 / Published: 19 January 2019
  |  
PDF [367 KB, uploaded 23 January 2019]

Abstract

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).
SciFeed

Share & Cite This Article

MDPI and ACS Style

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

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top