Adinkras and the Dynamics of Superspace Prepotentials

Abstract

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

42 pages, 31 figures in color

References in corpus (3)

• Adinkras: A Graphical Technology for Supersymmetric Representation Theory
• When Superspace Is Not Enough
• Off-shell supersymmetry and filtered Clifford supermodules

Cited by in corpus (11)

• 4D, N = 1 Supersymmetry Genomics (I)
• Topology Types of Adinkras and the Corresponding Representations of N-Extended Supersymmetry
• Weaving Worldsheet Supermultiplets from the Worldlines Within
• Graph Theory and Qubit Information Systems of Extremal Black Branes
• Adinkras for Clifford Algebras, and Worldline Supermultiplets
• 4D, N = 1 Supersymmetry Genomics (II)
• Superfield Formulation of Nonlinear N=4 Supermultiplets
• Automorphism Properties of Adinkras
• Qubits from Adinkra Graph Theory via Colored Toric Geometry
• Superspace: a Comfortably Vast Algebraic Variety
• N=4 and N=8 SUSY Quantum Mechanics and Klein's Vierergruppe