论文标题
5D Orbifold SCFT的较高对称性
Higher Symmetries of 5d Orbifold SCFTs
论文作者
论文摘要
我们确定了从M理论设计的5D SCFTS的较高对称性，该$ \ Mathbb {C}^3 /γ$背景是$γ$ $ su（3）$的有限亚组。这解决了一个长期以来的问题，即当产生的奇异性是非态度时（当$γ$是非亚洲的）和/或不隔离时（当$γ$的动作固定基因座时）时，如何提取这些数据。该理论的BPS状态用一维Quiver量子力学仪表理论编码，该理论决定了可能的1形和2形式的对称性。我们还表明，也可以通过直接计算与Orbifold奇点关联的相应缺陷组来提取相同的数据。两种方法都同意，这些计算不依赖于奇异性的解决方案的存在。我们还观察到，当几何形状忠实地捕获了全局0形式对称性时，$γ$的Abelianization会检测到2组结构（当下）。因此，这确定了所有这些数据确实是超符号固定点的固有的，而不是IR量规理论阶段的新兴特性。
We determine the higher symmetries of 5d SCFTs engineered from M-theory on a $\mathbb{C}^3 / Γ$ background for $Γ$ a finite subgroup of $SU(3)$. This resolves a longstanding question as to how to extract this data when the resulting singularity is non-toric (when $Γ$ is non-abelian) and/or not isolated (when the action of $Γ$ has fixed loci). The BPS states of the theory are encoded in a 1d quiver quantum mechanics gauge theory which determines the possible 1-form and 2-form symmetries. We also show that this same data can also be extracted by a direct computation of the corresponding defect group associated with the orbifold singularity. Both methods agree, and these computations do not rely on the existence of a resolution of the singularity. We also observe that when the geometry faithfully captures the global 0-form symmetry, the abelianization of $Γ$ detects a 2-group structure (when present). As such, this establishes that all of this data is indeed intrinsic to the superconformal fixed point rather than being an emergent property of an IR gauge theory phase.
