Adinkras for Clifford Algebras, and Worldline Supermultiplets

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dc.creatorDoran, C. F.
dc.creatorFaux, M. G.
dc.creatorGates Jr., S. J.
dc.creatorHubsch, T.
dc.creatorIga, K. M.
dc.creatorLandweber, G. D.
dc.creatorMiller, R. L.
dc.date2008-11-20
dc.date.accessioned2026-07-07T10:19:48Z
dc.date.available2026-07-07T10:19:48Z
dc.descriptionAdinkras 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.
dc.description54 pages, 8 tables with many illustrations
dc.identifierhttps://arxiv.org/abs/0811.3410
dc.identifierhttp://arxiv.org/abs/0811.3410
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174643
dc.subjectHigh Energy Physics - Theory
dc.titleAdinkras for Clifford Algebras, and Worldline Supermultiplets
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