Abstract Bars and Sezgin have proposed a super Yang-Mills theory in D = s + t = 11 + 3 space-time dimensions with an electric 3-brane that generalizes the 2-brane of M-theory. More recently, the authors found an infinite family of exceptional super Yang-Mills theories in D = ( 8 n + 3 ) + 3 via the so-called Magic Star algebras. A particularly interesting case occurs in signature D = 27 + 3 , where the superalgebra is centrally extended by an electric 11-brane and its 15-brane magnetic dual. The worldvolume symmetry of the 11-brane has signature D = 11 + 3 and can reproduce super Yang-Mills theory in D = 11 + 3 . Upon reduction to D = 26 + 2 , the 11-brane reduces to a 10-brane with 10 + 2 worldvolume signature. A single time projection gives a 10 + 1 worldvolume signature and can serve as a model for D = 10 + 1 M-theory as a reduction from the D = 26 + 1 signature of the bosonic M-theory of Horowitz and Susskind; this is further confirmed by the reduction of chiral ( 1 , 0 ) , D = 11 + 3 superalgebra to the N = 1 superalgebra in D = 10 + 1 , as found by Rudychev, Sezgin and Sundell some time ago. Extending previous results of Dijkgraaf, Verlinde and Verlinde, we also put forward the realization of spinors as total cohomologies of (the largest spatially extended) branes which centrally extend the ( 1 , 0 ) superalgebra underlying the corresponding exceptional super Yang-Mills theory. Moreover, by making use of an “anomalous” Dynkin embedding, we strengthen Ramond and Sati's argument that M-theory has hidden Cayley plane fibers.

中文翻译：

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27 + 3 和世界体积 M 理论中的卓越超级杨米尔斯

摘要 Bars 和 Sezgin 提出了一个在 D = s + t = 11 + 3 个时空维度上的超级 Yang-Mills 理论，其中包含一个电的 3-brane，它推广了 M-theory 的 2-brane。最近，作者通过所谓的魔星代数在 D = ( 8 n + 3 ) + 3 中发现了一个无限的特殊超级杨米尔斯理论家族。一个特别有趣的情况发生在签名 D = 27 + 3 中，其中超代数由一个电 11 膜及其 15 膜磁对偶在中心扩展。11-膜的世界体积对称性具有签名 D = 11 + 3 并且可以在 D = 11 + 3 中再现超级杨米尔斯理论。减少到 D = 26 + 2 后，11-brane 减少到具有 10 + 2 worldvolume 签名的 10-brane。单个时间投影给出了 10 + 1 世界体积特征，并且可以作为 D = 10 + 1 M 理论的模型，作为霍洛维茨和萨斯金德的玻色子 M 理论的 D = 26 + 1 特征的简化；Rudychev、Sezgin 和 Sundell 不久前发现，将手性 (1, 0) , D = 11 + 3 超代数还原为 D = 10 + 1 中的 N = 1 超代数进一步证实了这一点。扩展 Dijkgraaf、Verlinde 和 Verlinde 先前的结果，我们还提出将旋量实现为（最大空间扩展的）膜的总上同调，这些膜集中扩展 (1, 0) 超代数，作为相应的例外超级杨米尔斯理论的基础。此外，通过利用“异常”Dynkin 嵌入，我们加强了 Ramond 和 Sati 的论点，即 M 理论隐藏了凯莱平面纤维。