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

TL;DR

This paper introduces the Holoraumy Tensor as a new tool to connect 4D supersymmetric representations with 1D adinkra networks, advancing the understanding of SUSY holography.

Contribution

It proposes the Holoraumy Tensor as a metric for establishing a correspondence between higher-dimensional supermultiplets and adinkra networks, offering a novel approach in SUSY representation theory.

Findings

Holoraumy Tensor acts as a metric for SUSY correspondence.

Analogy with su(3) algebra elucidates the tensor's role.

Provides a new tool for supersymmetric representation analysis.

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.