2026-01-31 東京大学
双対性がつなぐ新奇量子相と対称性の破れ
＜関連情報＞
非可逆対称性保護位相位相の双対性の観点 Duality Viewpoint of Noninvertible Symmetry-Protected Topological Phases
Weiguang Cao, Masahito Yamazaki, and Linhao Li
Physical Review Letters Published: 30 January, 2026
DOI: https://doi.org/10.1103/4zfz-x9xh
Abstract
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) and (2 +1) that realize these new phases and explore their anomalous interfaces.
