Adinkras for Clifford Algebras, and Worldline Supermultiplets

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Adinkras are a graphical depiction of representations of the N-extended 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 well-known classification of representations of Clifford algebras to the classification of Adinkra chromotopologies.
54 pages, 8 tables with many illustrations

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/174643

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.3410
 http://arxiv.org/abs/0811.3410

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arXiv