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

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

2011-12-31

arxiv.org/abs/1201.0307v1

Mathematics

Representation Theory

29 pages, 4 figures

Scientific paper

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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