Think Different: Applying the Old Macintosh Mantra to the Computability of the SUSY Auxiliary Field Problem

Abstract

Starting with valise supermultiplets obtained from 0-branes plus field redefinitions, valise adinkra networks, and the "Garden Algebra," we discuss an architecture for algorithms that (starting from on-shell theories and, through a well-defined computation procedure), search for off-shell completions. We show in one dimension how to directly attack the notorious "off-shell auxiliary field" problem of supersymmetry with algorithms in the adinkra network-world formulation.

arXiv comment28 pages, 1 figure

References in corpus (20)

• Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace
• Adinkras: A Graphical Technology for Supersymmetric Representation Theory
• The structure of maximally supersymmetric Yang-Mills theory: constraining higher-order corrections
• A Theory of Spinning Particles for Large N-extended Supersymmetry
• Ultra-Multiplets: A New Representation of Rigid 2D, N = 8 Supersymmetry
• Supersymmetric Born-Infeld from the Pure Spinor Formalism of the Open Superstring
• A Theory of Spinning Particles for Large N_extended Supersymmetry (II)
• Extended Supersymmetric Quantum Mechanics
• 4D, N = 1 Supersymmetry Genomics (I)
• On Graph-Theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields
• Codes and Supersymmetry in One Dimension
• Topology Types of Adinkras and the Corresponding Representations of N-Extended Supersymmetry
• Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible Representations of N-Extended Supersymmetry
• Supersymmetric Born-Infeld from the D9-brane
• Adinkra (In)Equivalence From Coxeter Group Representations: A Case Study
• Is It Possible To Embed A 4D, N = 4 Supersymmetric Vector Multiplet Within A Completely Off-Shell Adinkra Hologram?
• Tuning the RADIO to the Off-Shell 2D Fayet Hypermultiplet Problem
• A Detailed Investigation of First and Second Order Supersymmetries for Off-Shell N = 2 and N = 4 Supermultiplets
• Geometrization of N-Extended 1-Dimensional Supersymmetry Algebras
• Reduction Redux of Adinkras

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• Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations
• A Letter Highlighting Matrix Mapping in Minimal 4D, $\mathcal{N}$ = 1 On-Shell Supermultiplet Representations