| Duality viewpoint of noninvertible symmetry protected topological phases |
| Weiguang Cao, the University of Southen Denmark |
| Event Type: Informal HEP Talk |
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| Time: 2:00 PM - 3:15 PM |
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| Location: 726 Broadway, 940, CCPP Seminar |
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| 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. In this talk, I will demonstrate this approach by classifying symmetry-protected topological (SPT) phases with a broad class of noninvertible symmetries in various spacetime dimensions, using the simplest duality transformation -- gauging $mathbb Z_2$ 0-form symmetry. Our results reveal new classifications of SPT phases with noninvertible symmetries, extending beyond those based on group symmetries. Additionally, I will exemplify the construction of lattice models in $(1+1)d$ and $(2+1)d$ that realize these new phases and explore their anomalous interfaces. Link to the Event Video |