Adinkras, 0-branes, Holoraumy and the SUSY QFT/QM Correspondence

Abstract

We propose the recently defined "Holoraumy Tensor" to play a critical role in defining a metric to establish a correspondence between 4D, N-extended 0-brane-based valise supermultiplet representations and, correspondingly via "SUSY Holography," on the space of 1D, 4N-extended network-based adinkras. Using an analogy with the su(3) algebra, it is argued the 0-brane holoraumy tensors plays the role of the "d-coefficients" and provides a newly established tool for investigating supersymmetric representation theory.

arXiv comment43 pages, 9 figures, LaTeX twice (revision includes analogy between d-coefficients and holoraumy tensors)

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Cited by in corpus (12)

• A Lorentz Covariant Holoraumy-Induced "Gadget" From Minimal Off-Shell 4D, N = 1 Supermultiplets
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Generating all 36,864 Four-Color Adinkras via Signed Permutations and Organizing into $\ell$- and $\tilde{\ell }$-Equivalence Classes
• Adinkras From Ordered Quartets of BC${}_4$ Coxeter Group Elements and Regarding 1,358,954,496 Matrix Elements of the Gadget
• 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
• A Proposal On Culling & Filtering A Coxeter Group For 4D, N = 1 Spacetime SUSY Representations
• Examples of 4D, N = 2 Holoraumy
• 4D, $\mathcal{N}=1$ Matter Gravitino Genomics
• Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations
• Exploring the Abelian 4D, $\mathcal{N}$ = 4 Vector-Tensor Supermultiplet and Its Off-Shell Central Charge Structure