Doran, C. F.; Faux, M. G.; Gates, S. J. jun.; Hübsch, T.; Iga, K. M.; Landweber, G. D. Adinkras and the dynamics of superspace prepotentials. (English) Zbl 1148.81013 Adv. Stud. Theor. Phys. 2, No. 1-4, 113-164 (2008). 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. Cited in 7 Documents MSC: 81Q60 Supersymmetry and quantum mechanics 15A66 Clifford algebras, spinors 70S05 Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems Keywords:off-shell supersymmetry; superfields; superpotentials; Lagrangian dynamics PDFBibTeX XMLCite \textit{C. F. Doran} et al., Adv. Stud. Theor. Phys. 2, No. 1--4, 113--164 (2008; Zbl 1148.81013) Full Text: arXiv