Type II string theory or M-theory contains a broad spectrum of gauge potentials. In addition to the standard $p$-form potentials, various mixed-symmetry potentials have been predicted, which may couple to exotic branes with non-standard tensions. Together with $p$-forms, mixed-symmetry potentials turn out to be essential to build the multiplets of the U-duality symmetry in each dimension. In this paper, we systematically determine the set of mixed-symmetry potentials and exotic branes on the basis of the $E_{11}$ conjecture. We also study the decompositions of U-duality multiplets into T-duality multiplets and determine which mixed-symmetry tensors are contained in each of the U-/T-duality multiplets.

中文翻译：

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外来膜和混合对称势。I. E11 对称性的预测

II 型弦理论或 M 理论包含广泛的规范势。除了标准的 $p$-form 势之外，还预测了各种混合对称势，这可能与具有非标准张力的奇异膜耦合。与 $p$-形式一起，混合对称势对于在每个维度上构建 U 对偶对称性的多重态是必不可少的。在本文中，我们基于 $E_{11}$ 猜想系统地确定了一组混合对称势和奇异膜​​。我们还研究了将 U-对偶多重态分解为 T-对偶多重态并确定每个 U-/T-对偶多重态中包含哪些混合对称张量。