论文标题
非线性Sigma模型描述了任意维度中脱合量子临界的临界值的描述
Nonlinear sigma model description of deconfined quantum criticality in arbitrary dimensions
论文作者
论文摘要
在本文中，我们建议将非线性Sigma模型（NLSM）与WESS-Zumino-witten（WZW）项作为对切合量的量子关键点的一般描述，这些点在任意维度中分开了两个自发对称性（SSB）阶段。特别是，我们讨论了NLSM目标空间的合适选择，通常是同质空间$ g/k $，其中$ g $是uv symmetry，$ k $由$ \ m \ mathfrak {k} = \ mathfrak {h}在每个SSB阶段的不间断对称的代数。在此特定的目标空间中，两个SSB阶段中的对称缺陷处于相等的基础上，并且它们的交织被WZW项捕获。然后，通过增殖对称缺陷来调整DQCP跃迁。通过将$ g/k $ nlsm与wzw术语耦合到背景量规字段，可以确定该理论的't Hooft异常。相对Chern-simons项描述了取消异常的批量保护拓扑（SPT）相。我们在3+1d中构建并讨论了一系列具有Grasmmannian对称缺陷的模型。我们还提供了带有WZW期限的$ g/k $ nlsm的费米子模型。
In this paper, we propose using the nonlinear sigma model (NLSM) with the Wess-Zumino-Witten (WZW) term as a general description of deconfined quantum critical points that separate two spontaneously symmetry-breaking (SSB) phases in arbitrary dimensions. In particular, we discuss the suitable choice of the target space of the NLSM, which is in general the homogeneous space $G/K$, where $G$ is the UV symmetry and $K$ is generated by $\mathfrak{k}=\mathfrak{h}_1\cap \mathfrak{h}_2$, and $\mathfrak{h}_i$ is the Lie algebra of the unbroken symmetry in each SSB phase. With this specific target space, the symmetry defects in both SSB phases are on equal footing, and their intertwinement is captured by the WZW term. The DQCP transition is then tuned by proliferating the symmetry defects. By coupling the $G/K$ NLSM with the WZW term to the background gauge field, the 't Hooft anomaly of this theory can be determined. The bulk symmetry-protected topological (SPT) phase that cancels the anomaly is described by the relative Chern-Simons term. We construct and discuss a series of models with Grassmannian symmetry defects in 3+1d. We also provide the fermionic model that reproduces the $G/K$ NLSM with the WZW term.
