Codes and Supersymmetry in One Dimension

Details Codes and Supersymmetry in One Dimension Codes and Supersymmetry in One Dimension

2011-08-20

arxiv.org/abs/1108.4124v1

Physics

High Energy Physics

High Energy Physics - Theory

48 pages, a new version that combines arXiv:0811.3410 and parts of arXiv:0806.0050, for submission for publication

Scientific paper

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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