Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2016, Article ID 3980613, 12 pages
Research Article

Structural Theory and Classification of 2D Adinkras

1Natural Science Division, Pepperdine University, 24255 Pacific Coast Highway, Malibu, CA 90263, USA
2Department of Mathematics, University of California, 970 Evans Hall, Berkeley, CA 94720-3840, USA

Received 6 August 2015; Revised 3 January 2016; Accepted 11 January 2016

Academic Editor: Torsten Asselmeyer-Maluga

Copyright © 2016 Kevin Iga and Yan X. Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


Adinkras are combinatorial objects developed to study (1-dimensional) supersymmetry representations. Recently, 2D Adinkras have been developed to study -dimensional supersymmetry. In this paper, we classify all D Adinkras, confirming a conjecture of T. Hübsch. Along the way, we obtain other structural results, including a simple characterization of Hübsch’s even-split doubly even codes.