In three dimensions, there are two types of $\mathcal{N}=2$ anti–de Sitter (AdS) supersymmetry, which are denoted (1, 1) and (2, 0). They are characterized by different supercurrents and support different families of higher-spin gauge models (massless and massive), which were constructed in Hutomo et al. [$\mathcal{N}=2$ supersymmetric higher spin gauge theories and current multiplets in three dimensions, Phys. Rev. D 98, 125004 (2018); Higher spin supermultiplets in three dimensions: (2, 0) AdS supersymmetry, Phys. Lett. B 787, 175 (2018)] for the (1, 1) and (2, 0) cases, respectively, using superspace techniques. It turns out that the precise difference between the (1, 1) and (2, 0) higher-spin supermultiplets can be pinned down by reducing these gauge theories to (1, 0) AdS superspace. The present paper is devoted to the $(1,1)\to (1,0)$ AdS superspace reduction. In conjunction with the outcomes of the $(2,0)\to (1,0)$ AdS superspace reduction carried out in Hutomo and Kuzenko [Field theories with (2, 0) AdS supersymmetry in $\mathcal{N}=1$ AdS superspace, Phys. Rev. D 100, 045010 (2019)], we demonstrate that every known higher-spin theory with (1, 1) or (2, 0) AdS supersymmetry decomposes into a sum of two off-shell (1, 0) supermultiplets that belong to four series of inequivalent higher-spin gauge models. The latter are reduced to components.

中文翻译：

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AdS3 中具有 (1, 1) 超对称性的高自旋规范模型：归约到 (1, 0) 超空间

在三个维度上，有两种类型 $\mathcal{N}=2$反德西特 (AdS) 超对称性，表示为 (1, 1) 和 (2, 0)。它们的特点是不同的超电流，并支持 Hutomo等人构建的不同系列的高自旋规范模型（无质量和有质量）。[$\mathcal{N}=2$超对称高自旋规范理论和三维电流多重态，物理。修订版 D 98 , 125004 (2018)；三个维度的更高自旋超多重态：(2, 0) AdS 超对称性，Phys. 莱特。B 787 , 175 (2018)] 分别用于 (1, 1) 和 (2, 0) 情况，使用超空间技术。事实证明，通过将这些规范理论简化为 (1, 0) AdS 超空间，可以确定 (1, 1) 和 (2, 0) 高自旋超多重子之间的精确差异。本论文致力于$(1,1)\to (1,0)$AdS 超空间缩减。结合会议的结果$(2,0)\to (1,0)$ 在 Hutomo 和 Kuzenko 中进行的 AdS 超空间缩减 [场理论与 (2, 0) AdS 超对称性 $\mathcal{N}=1$AdS 超空间，物理。Rev. D 100 , 045010 (2019)]，我们证明了每个已知的具有 (1, 1) 或 (2, 0) AdS 超对称性的高自旋理论分解为两个壳外 (1, 0) 超多重子的总和，即属于四个系列的不等价的高自旋仪表型号。后者被简化为组件。