标题： 非可逆对称性保护拓扑相的对偶观点 显示英文标题

标题： Duality viewpoint of noninvertible symmetry protected topological phases

摘要： 近年来，广义对称性的进展引起了人们对具有新奇对称性的无能隙物质相的广泛关注，例如非可逆对称性。 通过利用对偶变换，具有非可逆对称性的无能隙相的分类和构造可以映射到涉及传统群对称性的相。 我们通过在任意时空维度中对具有广泛非可逆对称性的对称性保护拓扑相进行分类来展示这种方法。 我们的结果揭示了超越基于群对称性的分类的新分类。 此外，我们在$(1+1)d$和$(2+1)d$中构建了实现这些新相的格点模型，并探讨了它们的异常界面。 显示英文摘要

摘要： Recent advancements in generalized symmetries have drawn significant attention to gapped phases of matter exhibiting novel symmetries, such as noninvertible symmetries. By leveraging the duality transformations, the classification and construction of gapped phases with noninvertible symmetry can be mapped to those involving conventional group symmetries. We demonstrate this approach by classifying symmetry-protected topological phases with a broad class of noninvertible symmetries in arbitrary spacetime dimensions. Our results reveal new classifications that extend beyond those based on group symmetries. Additionally, we construct lattice models in $(1+1)d$ and $(2+1)d$ that realize these new phases and explore their anomalous interfaces.