We give Swampland constraints on the three dimensional Landscape of Anti-de Sitter higher spin gravity in the Chern–Simons formulation with connection valued in various split real forms of Lie algebras. We derive the finiteness conjecture by computing the upper bound on the rank of possible gauge groups then we refine it using the AdS distance conjecture. We discuss the implications of this Swampland constraint on the spectrum of higher spin gravity theories and we compare it with the gravitational exclusion principle required from BTZ black hole consideration to excerpt a constraint on the Chern–Simons level k.

中文翻译：

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3D 的有限性 高自旋引力景观


在 Chern-Simons 公式中，我们赋予 Anti-de Sitter 三维 Landscape 的 Swampland 更高的自旋引力约束，并在 Lie 代数的各种分裂实数形式中计算连接。我们通过计算可能的规范组秩的上限来推导出有限性猜想，然后使用 AdS 距离猜想对其进行优化。我们讨论了这个沼泽地约束对高自旋引力理论谱的影响，并将其与 BTZ 黑洞考虑所需的引力排除原理进行了比较，以摘录对 Chern-Simons 能级 k 的约束。