Adinkras for Clifford Algebras, and Worldline Supermultiplets
Abstract
Adinkras are a graphical depiction of representations of the Nextended supersymmetry algebra in one dimension, on the worldline. These diagrams represent the component fields in a supermultiplet as vertices, and the action of the supersymmetry generators as edges. In a previous work, we showed that the chromotopology (topology with colors) of an Adinkra must come from a doubly even binary linear code. Herein, we relate Adinkras to Clifford algebras, and use this to construct, for every such code, a supermultiplet corresponding to that code. In this way, we correlate the wellknown classification of representations of Clifford algebras to the classification of Adinkra chromotopologies.
 Publication:

arXiv eprints
 Pub Date:
 November 2008
 arXiv:
 arXiv:0811.3410
 Bibcode:
 2008arXiv0811.3410D
 Keywords:

 High Energy Physics  Theory
 EPrint:
 54 pages, 8 tables with many illustrations