Codes and supersymmetry in one dimension

• DOI: 10.4310/atmp.2011.v15.n6.a7
• Publication Date: 2013-08-30T21:01:56Z
• Authors: Charles F. Doran; Michael G. Faux; Sylvester James, ...; Tristan Hübsch; Kevin M. Iga; Gregory D. Landweber; Robert L. Miller
• Keywords: Enumeration; Code (set theory)

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