Generalizing Adinkra-like Structures onto Graphs of Symmetry Groups, Poster 51

My poster presents work generalizing adinkras to the Caley graphs of other symmetry groups. An adinkra is a graph theoretic tool that allows for the easy manipulation of differential operators that describe particle physics... [ view full abstract ]

My poster presents work generalizing adinkras to the Caley graphs of other symmetry groups. An adinkra is a graph theoretic tool that allows for the easy manipulation of differential operators that describe particle physics models that are supersymmetric and arise naturally from the differential operators and equations in these theories. There is much yet to be learned about adinkras and what role they might play in bringing a wide array of mathematics and physics together to translate insights from one area of research to another. Towards this end, I worked to generalize adinkra structures to general Caley graphs (arising in abstract algebra) to see what more we might be able to learn from them.