Adinkras are combinatorial objects developed to study 1-dimensional supersymmetry representations. Recently, 2-d Adinkras have been developed to study 2-dimensional supersymmetry. In this paper, we classify all 2-d Adinkras, confirming a conjecture of T. H\"ubsch. Along the way, we obtain other structural results, including a simple characterization of H\"ubsch's even-split doubly even code.
@article{arxiv.1508.00491,
title = {Structural Theory of 2-d Adinkras},
author = {Kevin Iga and Yan X. Zhang},
journal= {arXiv preprint arXiv:1508.00491},
year = {2015}
}