扩展/高维SUSY Holoraumy中Valise与在壳超多重态表示的无限维代数$\mathfrak{Spin}$($N$)结构
Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations
AI总结：
本文研究高维超对称中holoraumy与Hodge对偶的关系，发现六维以上该关系非必需，但四维矢量-张量多重态中存在，且约化到一维揭示与扩展$\mathfrak{Spin}(N)$的无限维代数相关。
摘要：
我们探索了四维以上holoraumy与Hodge对偶之间的关系。我们发现这种关系在六维以上是短暂的：它并非由这类超对称理论的结构所要求。然而，在四维情形下，对于矢量-张量$\cal N$ = 4多重态，我们展示了这种联系是存在的。约化到一维理论提供了证据，表明高维超对称与扩展$\mathfrak{Spin}(N)$的无限维代数之间存在联系。
英文摘要：
We explore the relationship between holoraumy and Hodge duality beyond four dimensions. We find this relationship to be ephemeral beyond six dimensions: it is not demanded by the structure of such supersymmetrical theories. In four dimensions for the case of the vector-tensor $\cal N$ = 4 multiplet, however, we show that such a linkage is present. Reduction to 1D theories presents evidence for a linkage from higher-dimensional supersymmetry to an infinite-dimensional algebra extending $\mathfrak{Spin}(N)$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
