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arXiv · 1108.4124

Codes and Supersymmetry in One Dimension

C. F. Doran·M. G. Faux·S. J. Gates Jr.·T. Hübsch·K. M. Iga·G. D. Landweber·R. L. Miller
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Abstract

Adinkras are diagrams that describe many useful supermultiplets in D=1 dimensions. We show that the topology of the Adinkra is uniquely determined by a doubly even code. Conversely, every doubly even code produces a possible topology of an Adinkra. A computation of doubly even codes results in an enumeration of these Adinkra topologies up to N=28, and for minimal supermultiplets, up to N=32.

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C. F. Doran, M. G. Faux, S. J. Gates Jr., T. Hübsch, K. M. Iga, G. D. Landweber, R. L. Miller. 2011-08-20. Codes and Supersymmetry in One Dimension. https://doi.org/10.4310/atmp.2011.v15.n6.a7

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