论文标题
不可糊化的自以为是的对称性的全息图
The holography of non-invertible self-duality symmetries
论文作者
论文摘要
我们研究具有全息二的理论中如何出现不可糊化的自偶性缺陷。我们专注于$ \ mathfrak {su}（n）$ $ $ \ mathcal {n} = 4 $ sym的范式示例。该理论分别在$τ= i $和$τ= e^{2πi /3} $的情况下具有不可糊化的二元性和试验性缺陷。在引力模量空间中的这些点上，$ sl（2，\ mathbb {z}）$ iib字符串理论的二元对称性自发地破坏到有限的子组$ g $，从而引起了离散的新兴$ g $ G $ GAGUGE字段。在减少内部歧管后，低能物理学以一种有趣的5D Chern-Simons理论为主导，并由$ G $进一步分析，我们分析了，这导致了边界理论中的自偶性缺陷。使用五维批量理论，我们详细计算这些缺陷的融合规则。此处介绍的方法是一般的，可用于研究其他理论中具有重力二的对称性。
We study how non-invertible self-duality defects arise in theories with a holographic dual. We focus on the paradigmatic example of $\mathfrak{su}(N)$ $\mathcal{N} = 4$ SYM. The theory is known to have non-invertible duality and triality defects at $τ=i$ and $τ= e^{2 πi /3}$, respectively. At these points in the gravitational moduli space, the gauged $SL(2,\mathbb{Z})$ duality symmetry of type IIB string theory is spontaneously broken to a finite subgroup $G$, giving rise to a discrete emergent $G$ gauge field. After reduction on the internal manifold, the low-energy physics is dominated by an interesting 5d Chern-Simons theory, further gauged by $G$, that we analyze and which gives rise to the self-duality defects in the boundary theory. Using the five-dimensional bulk theory, we compute the fusion rules of those defects in detail. The methods presented here are general and may be used to investigate such symmetries in other theories with a gravity dual.
