We study possible geometries and R-symmetry breaking patterns that lead to globally BPS surface operators in the six dimensional theory. We find four main classes of solutions in different subspaces of and a multitude of subclasses and specific examples. We prove that these constructions lead to supersymmetry preserving observables and count the number of preserved supercharges. We discuss the underlying geometry, calculate their anomalies and present analogous structures for the holographic dual M2-branes in AdS ₇ S ⁴. We also comment on the dimensional reduction of these observables to line and surface operators in 4D and 5D theories. This rich spectrum of operators is proposed as the simplest and most natural observables of this mysterious theory.

我们研究了可能的几何形状和R对称破坏模式，这些模式导致六维理论中的全局 BPS 表面算子。我们在不同的子空间中找到了四类主要的解决方案，以及大量的子类和特定示例。我们证明了这些构造导致了超对称性保持可观测量并计算了保持超荷的数量。我们讨论了AdS ₇ S ^{4 中}全息双 M2-膜的基本几何结构，计算了它们的异常并提出了类似的结构. 我们还评论了在 4D 和 5D 理论中将这些可观察量降维为线和面算子。这个丰富的算子谱被认为是这个神秘理论中最简单、最自然的可观测值。