论文标题
不可逆转性缺陷的对称tfts
Symmetry TFTs for Non-Invertible Defects
论文作者
论文摘要
考虑到任何作用于$ d $维量子场理论的对称性，有一个相关的$（d+1）$ - 尺寸拓扑场理论，称为对称性TFT（symtft）。 Systft对于将量子场理论的通用量（例如其广义的全局对称性和shoft异常）与动力学分解为有用。在这项工作中，我们在$（1+1）$ d和$（3+1）$ d量子场理论中都探索了具有Kramers-Wannier的二元对称性的理论的Systft。构建Systft后，我们使用它来重现二元性缺陷的不可糊化的融合规则，并在途中，我们将二元性缺陷的概念概念化为\ textit {highere}二元性缺陷。我们还将Systft应用于$（1+1）$ d的本质上与非内在性二元性缺陷的问题。
Given any symmetry acting on a $d$-dimensional quantum field theory, there is an associated $(d+1)$-dimensional topological field theory known as the Symmetry TFT (SymTFT). The SymTFT is useful for decoupling the universal quantities of quantum field theories, such as their generalized global symmetries and 't Hooft anomalies, from their dynamics. In this work, we explore the SymTFT for theories with Kramers-Wannier-like duality symmetry in both $(1+1)$d and $(3+1)$d quantum field theories. After constructing the SymTFT, we use it to reproduce the non-invertible fusion rules of duality defects, and along the way we generalize the concept of duality defects to \textit{higher} duality defects. We also apply the SymTFT to the problem of distinguishing intrinsically versus non-intrinsically non-invertible duality defects in $(1+1)$d.
