We investigate the entanglement-renormalization group flows of translation-invariant topological stabilizer models in three dimensions. Fracton models are observed to bifurcate under entanglement renormalization, generically returning at least one copy of the original model. Based on this behavior, we formulate the notion of bifurcated equivalence for fracton phases, generalizing foliated fracton equivalence. The notion of quotient superselection sectors is also generalized accordingly. We calculate bifurcating entanglement-renormalization group flows for a wide range of examples and, based on those results, propose conjectures regarding the classification of translation-invariant topological stabilizer models in three dimensions.

中文翻译：

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分数稳定器模型的分叉纠缠-正态化群流

我们在三个维度上研究了平移不变拓扑稳定器模型的纠缠重整化组流。观察到Fracton模型在纠缠重归一化下分叉，通常返回原始模型的至少一个副本。基于此行为，我们对分数相定义了分叉等价的概念，推广了叶分数等价。商超选择扇区的概念也相应地得到了​​概括。我们为大量示例计算分叉纠缠-重归一化组流，并基于这些结果，提出关于三个维度上的平移不变拓扑稳定器模型分类的猜想。