论文标题
通过异国情调的更高形式对称性破裂
Fracton phases via exotic higher-form symmetry-breaking
论文作者
论文摘要
我们从更高形式对称性的角度研究了分裂阶段的p弦凝结机制，重点是X-Cube模型的示例和秩-Two对称性tensor u（1）标量电荷理论。这项工作是由分裂阶段与连续量子场理论之间关系的问题引起的，还提供了描述独立于特定晶格模型构建体的P弦融合的一般原则。我们从细胞同源性方面对晶格模型中的更高形式对称性进行了透视。将此视角应用于X-Cube模型的耦合层结构，我们确定了在X-Cube相中损坏的叶状1形对称性，但保留在脱钩的圆环代码层的阶段。标量电荷理论的类似考虑导致了框架1形式对称性。这些对称性不同于相对论量子场理论中出现的标准1形式对称性。我们还就解释p弦凝结的解释以及涉及对称测量的相关结构进行了一般讨论，就高色对称性而言。
We study p-string condensation mechanisms for fracton phases from the viewpoint of higher-form symmetry, focusing on the examples of the X-cube model and the rank-two symmetric-tensor U(1) scalar charge theory. This work is motivated by questions of the relationship between fracton phases and continuum quantum field theories, and also provides general principles to describe p-string condensation independent of specific lattice model constructions. We give a perspective on higher-form symmetry in lattice models in terms of cellular homology. Applying this perspective to the coupled-layer construction of the X-cube model, we identify a foliated 1-form symmetry that is broken in the X-cube phase, but preserved in the phase of decoupled toric code layers. Similar considerations for the scalar charge theory lead to a framed 1-form symmetry. These symmetries are distinct from standard 1-form symmetries that arise, for instance, in relativistic quantum field theory. We also give a general discussion on interpreting p-string condensation, and related constructions involving gauging of symmetry, in terms of higher-form symmetry.
