Open Access
December 2011 Codes and supersymmetry in one dimension
Charles F. Doran, Michael G. Faux, Sylvester James Gates Jr., Tristan Hübsch, Kevin M. Iga, Gregory D. Landweber, Robert L. Miller
Adv. Theor. Math. Phys. 15(6): 1909-1970 (December 2011).


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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Charles F. Doran. Michael G. Faux. Sylvester James Gates Jr.. Tristan Hübsch. Kevin M. Iga. Gregory D. Landweber. Robert L. Miller. "Codes and supersymmetry in one dimension." Adv. Theor. Math. Phys. 15 (6) 1909 - 1970, December 2011.


Published: December 2011
First available in Project Euclid: 12 December 2012

zbMATH: 1276.81113
MathSciNet: MR2989815

Rights: Copyright © 2011 International Press of Boston

Vol.15 • No. 6 • December 2011
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