Lattice models with subsystem/weak non-invertible symmetry-protected topological order

• URL: http://arxiv.org/abs/2505.11419v1
• Date: Fri, 16 May 2025 16:32:35 GMT
• Title: Lattice models with subsystem/weak non-invertible symmetry-protected topological order
• Authors: Yuki Furukawa,
• Abstract summary: We construct a family of lattice models which possess subsystem non-invertible symmetry-protected topological (SPT) order.<n>We also propose 2+1d lattice models which belong to two different weak SPT phases distinguished by a combination of translational symmetry and non-invertible symmetry.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We construct a family of lattice models which possess subsystem non-invertible symmetry-protected topological (SPT) order and analyze their interface modes protected by the symmetry, whose codimension turns out to be more than one. We also propose 2+1d lattice models which belong to two different weak SPT phases distinguished by a combination of translational symmetry and non-invertible symmetry. We show that the interface between them exhibits an exotic Lieb-Schultz-Mattis anomaly coming from the symmetry which cannot be written as a direct product of an internal symmetry and the lattice translational symmetry.

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