Devin Bristow, Mathematical Sciences (MS)
Faculty Advisor: Dr. Howard Jacobowitz
Abstract
We continue the search for rules that govern when off-shell 4D, N = 1 supermultiplets can be combined to form off-shell 4D, N = 2 supermultiplets. We study the S8 permutations and Height Yielding Matrix Numbers (HYMN) embedded within the adinkras that correspond to these putative off-shell 4D, N = 2 supermultiplets, Even though the HYMN definition was designed to distinguish between the raising and lowering of nodes in one dimensional valises supermultiplets, they are shown to accurately select out which combinations of off-shell 4D, N = 1 supermultiplets correspond to off-shell 4D, N = 2 supermultiplets. Only the combinations of the chiral + vector and chiral + tensor are found to have valises in the same class.
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