论文标题
Ising Cage-net模型的基态变性
Ground state degeneracy of the Ising cage-net model
论文作者
论文摘要
Ising Cage-net模型，首先在物理中提出。 Rev. X 9，021010（2019）是具有非平凡非亚伯式特征的代表性的I型Fracton模型。在本文中，我们计算了该模型的基态堕落性，发现即使它遵循与X-Cube模型相似的耦合层结构，但与物理中定义的X-Cube相同的意义上，Ising Cage-net模型也不能“叶”。修订版X 8，031051（2018）。因此，需要更普遍的“叶片”概念来了解Ising Cage-net模型的重新归一化组转换。计算是使用我们在本文中开发的操作员代数方法完成的，我们通过一系列示例来证明其有效性。
The Ising cage-net model, first proposed in Phys. Rev. X 9, 021010 (2019), is a representative type I fracton model with nontrivial non-abelian features. In this paper, we calculate the ground state degeneracy of this model and find that, even though it follows a similar coupled layer structure as the X-cube model, the Ising cage-net model cannot be "foliated" in the same sense as X-cube as defined in Phys. Rev. X 8, 031051 (2018). A more generalized notion of "foliation'' is hence needed to understand the renormalization group transformation of the Ising cage-net model. The calculation is done using an operator algebra approach that we develop in this paper, and we demonstrate its validity through a series of examples.
