Duality viewpoint of noninvertible symmetry protected topological phases
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909990538706944 |
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| author | Cao, Weiguang Yamazaki, Masahito Li, Linhao |
| author_facet | Cao, Weiguang Yamazaki, Masahito Li, Linhao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20435 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Duality viewpoint of noninvertible symmetry protected topological phases Cao, Weiguang Yamazaki, Masahito Li, Linhao Strongly Correlated Electrons High Energy Physics - Theory 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. |
| title | Duality viewpoint of noninvertible symmetry protected topological phases |
| topic | Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.20435 |