Codes and Supersymmetry in One Dimension
High Energy Physics - Theory
2013-10-15 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1108.4124,
title = {Codes and Supersymmetry in One Dimension},
author = {C. F. Doran and M. G. Faux and S. J. Gates and T. Hübsch and K. M. Iga and G. D. Landweber and R. L. Miller},
journal= {arXiv preprint arXiv:1108.4124},
year = {2013}
}
Comments
48 pages, a new version that combines arXiv:0811.3410 and parts of arXiv:0806.0050, for submission for publication