• Corpus ID: 119709578

SUSY Equation Topology, Zonohedra, and the Search for Alternate Off-Shell Adinkras

@article{Burghardt2011SUSYET,
  title={SUSY Equation Topology, Zonohedra, and the Search for Alternate Off-Shell Adinkras},
  author={Keith A. Burghardt and Sylvester James Gates},
  journal={arXiv: Representation Theory},
  year={2011}
}
Results are given from a search to form adinkra-like equations based on topologies that are not hypercubes. An alternate class of zonohedra topologies are used to construct adinkra-like graphs. In particular, the rhombic dodecahedron and rhombic icosahedron are studied in detail. Using these topological skeletons, equations similar to those of a supersymmetric system are found. But these fail to have the interpretation of an off-shell supersymmetric system of equations. 

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