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On graph-theoretic identifications of Adinkras, supersymmetry representations and superfields. (English) Zbl 1124.81025
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.

MSC:
81Q60Supersymmetry and quantum mechanics
81T60Supersymmetric field theories