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Advances in Mathematical Physics
Volume 2015 (2015), Article ID 584542, 17 pages
Research Article

Automorphism Properties and Classification of Adinkras

1School of Physics, University of Western Australia, Perth, WA 6009, Australia
2Center for String and Particle Theory, Department of Physics, University of Maryland, College Park, MD 20742-4111, USA

Received 16 March 2015; Accepted 7 July 2015

Academic Editor: Pavel Kurasov

Copyright © 2015 B. L. Douglas et al. 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.


Adinkras are graphical tools for studying off-shell representations of supersymmetry. In this paper we efficiently classify the automorphism groups of Adinkras relative to a set of local parameters. Using this, we classify Adinkras according to their equivalence and isomorphism classes. We extend previous results dealing with characterization of Adinkra degeneracy via matrix products and present algorithms for calculating the automorphism groups of Adinkras and partitioning Adinkras into their isomorphism classes.