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.

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

References in corpus (3)

• Refining the classification of the irreps of the 1D N-Extended Supersymmetry
• Decomposition and Oxidation of the N-Extended Supersymmetric Quantum Mechanics Multiplets
• Pure and entangled N=4 linear supermultiplets and their one-dimensional sigma-models

Cited by in corpus (3)

• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Properties of HYMNs in Examples of Four-Color, Five-Color, and Six-Color Adinkras
• Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations