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Quadratic conformal supersymmetry


Yates, LA, Quadratic conformal supersymmetry, Journal of Physics: Conference Series, 1194 Article 012115. ISSN 1742-6588 (2019) [Refereed Article]

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2019. The Authors. This article is licensed under a Creative Commons Attribution 3.0 Unported (CC BY 3.0) License (, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

DOI: doi:10.1088/1742-6596/1194/1/012115


The non-appearance of predicted superparticles in high-energy particle experiments has placed severe constraints on candidate models of supersymmetry; in particular on the masses of the superpartners of known particles. Drawing on our earlier work investigating quadratic deformations of Lie superalgebras we present in this paper our recent findings that for certain extensions of space-time supersymmetries, namely the conformal superalgebra, there are representations without any superpartners (see J. Phys. A: Math. Theor. 51 (2018) 145203). This possibility arises due to a remarkable coincidence of the allowable quadratic extensions of the algebra, where one demands that a generalisation of the PBW theorem holds, and the minimal polynomial identity satisfied by the even subalgebra.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Classical physics
Research Field:Thermodynamics and statistical physics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Yates, LA (Dr Luke Yates)
ID Code:152722
Year Published:2019
Deposited By:Physics
Deposited On:2022-08-23
Last Modified:2022-11-10

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