On the Four Dimensional Holoraumy of the 4D, $\mathcal{N}$ = 1 Complex Linear Supermultiplet

Abstract

We present arguments to support the existence of weight spaces for supersymmetric field theories and identify the calculations of information about supermultiplets to define such spaces via the concept of "holoraumy." For the first time this is extended to the complex linear supermultiplet by a calculation of the commutator of supercovariant derivatives on all of its component fields.

arXiv comment27 pages, five figures, three tables, LaTeX twice, latest version include coding descriptions and on-line access to codes, complete `crystal' description, Univ. of Maryland Preprint #: UMDEPP--017-020, Brown Univ. Preprint #: HET-1711

References in corpus (6)

• Adinkras: A Graphical Technology for Supersymmetric Representation Theory
• A Theory of Spinning Particles for Large N-extended Supersymmetry
• A Theory of Spinning Particles for Large N_extended Supersymmetry (II)
• On Graph-Theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields
• Codes and Supersymmetry in One Dimension
• A Lorentz Covariant Holoraumy-Induced "Gadget" From Minimal Off-Shell 4D, N = 1 Supermultiplets

Cited by in corpus (8)

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• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Adinkra Height Yielding Matrix Numbers: Eigenvalue Equivalence Classes for Minimal Four-Color Adinkras
• Superfield Component Decompositions and the Scan for Prepotential Supermultiplets in 10D Superspaces
• Properties of HYMNs in Examples of Four-Color, Five-Color, and Six-Color Adinkras
• Examples of 4D, N = 2 Holoraumy
• On the Ubiquity Of Electromagnetic-Duality Rotations in 4D, N = 1 Holoraumy Tensors for On-Shell 4D Supermultiplets
• Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations