We argue that quiver gauge theories with $\mathrm{SU}(N)$ gauge groups give rise to lattice gauge theories with matter possessing fractonic properties, where the lattice is the quiver itself. This idea extends a recent proposal by Razamat. This class of theories exhibit a ${\mathbb{Z}}_N$ 1-form global symmetry that can be used to classify their phases. The order parameter of this transition is the expectation value of Wilson loops, which correspond to mesonic operators in the underlying quiver gauge theory. We discuss how this perspective naturally fits with the deconstruction of a higher dimensional theory.

中文翻译：

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箭袋、格子规范理论和分数

我们认为颤抖规范理论与$苏(ñ)$规范群产生了具有分形性质的物质的晶格规范理论，其中晶格就是箭袋本身。这个想法扩展了 Razamat 最近的提议。这类理论表现出${\mathbb{Z}}_{ñ}$1-form 全局对称性，可用于对其相位进行分类。该跃迁的阶参数是威尔逊环的期望值，对应于基础箭袋规范理论中的介子算子。我们讨论了这种观点如何自然地与高维理论的解构相适应。