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Adinkras and the dynamics of superspace prepotentials. (English) Zbl 1148.81013

Summary: We demonstrate a method for describing one-dimensional \(N\)-extended supermultiplets and building supersymmetric actions in terms of unconstrained prepotential superfields, explicitly working with the Scalar supermultiplet. The method uses intuitive manipulations of Adinkras and \({\mathcal{GR}}(d,N)\) algebras, a variant of Clifford algebras. In the process we clarify the relationship between Adinkras, \({\mathcal{GR}}(d,N)\) algebras, and superspace.

MSC:

81Q60 Supersymmetry and quantum mechanics
15A66 Clifford algebras, spinors
70S05 Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems
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