论文标题

关于4D的示例性外壳结构的注释

A Note On Exemplary Off-Shell Constructions Of 4D, ${\mathbf {\cal N}}$ = 2 Supersymmetry Representations

论文作者

Bristow, Devin D., Caporaletti, John H., Cianciara, Aleksander J., Gates, Jr., S. James, Levine, Delina, Yerger, Gabriel

论文摘要

我们继续搜索在拆卸4D,$ \ cal n $ = 1 supermultiplet时的规则搜索,可以组合形成外壳4D,$ \ cal n $ = 2 supermultiplets。我们研究$ {\ mathbb s} _8 $排列和高度产生矩阵编号(HYMN),这些矩阵编号(HYMN)嵌入了与这些假定的4D相对应的Adinkras中,$ \ cal n $ = 2 supermultiplets of-shell shell Supermultiplets。即使旨在区分一个尺寸阀中的节点的升高和降低,它们也被证明可以准确选择哪种脱壳4D的组合,$ \ cal n $ = 1 supermultiplets对应于off-shell 4D,$ \ cal n $ = 2 supermultiplets。仅发现手性 +载体和手性 +张量的组合在同一类中具有瓣膜。这与众所周知的4D结构一致,$ \ cal n $ = 2个超级人。

We continue the search for rules that govern when off-shell 4D, $\cal N$ = 1 supermultiplets can be combined to form off-shell 4D, $\cal N$ = 2 supermultiplets. We study the ${\mathbb S}_8$ permutations and Height Yielding Matrix Numbers (HYMN) embedded within the adinkras that correspond to these putative 4D, $\cal N$ = 2 supermultiplets off-shell 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, $\cal N$ = 1 supermultiplets correspond to off-shell 4D, $\cal N$ = 2 supermultiplets. Only the combinations of the chiral + vector and chiral + tensor are found to have valises in the same class. This is consistent with the well known structure of 4D, $\cal N$ = 2 supermultiplets.

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