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Zbl 1124.81025
Doran, C.F.; Faux, M.G.; Gates, S.J. jun.; Hübsch, T.; Iga, K.M.; Landweber, G.D.
On graph-theoretic identifications of Adinkras, supersymmetry representations and superfields. (English)
[J] Int. J. Mod. Phys. A 22, No. 5, 869-930 (2007). ISSN 0217-751X

An Adinkra diagram, or ``Adinkra" for short, is a directed graph with some extra information associated to each vertex and edge, intended to describe the supersymmetry transformation in terms of component fields. In this paper the authors used Adinkras in order to discuss off-shell representations of $N$-extended supersymmetry in one dimension ($N$-extended supersymmetric quantum mechanics), and for such they developed some graph theoretic techniques to understand these diagrams, giving evidences that this might be an useful tool for a deeper understanding of supersymmetry.
[Jayme Vaz (Campinas)]

MSC 2000:: *81Q60 Supersymmetric quantum mechanics
81T60 Supersymmetric field theories

Keywords: supersymmetry; superfield; off-shell representations; supersymmetric quantum mechanics

Cited in: Zbl 1260.81308

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