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Zbl 1148.81013
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)
[J] Adv. Stud. Theor. Phys. 2, No. 1-4, 113-164 (2008). ISSN 1313-1311; ISSN 1314-7609/e

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 ${\cal{GR}}(d,N)$ algebras, a variant of Clifford algebras. In the process we clarify the relationship between Adinkras, ${\cal{GR}}(d,N)$ algebras, and superspace.

MSC 2000:: *81Q60 Supersymmetric quantum mechanics
15A66 Clifford algebras
70S05 Lagrangian formalism and Hamiltonian formalism

Keywords: off-shell supersymmetry; superfields; superpotentials; Lagrangian dynamics

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Zentralblatt MATH Berlin [Germany]