Non-invertible SPT phases from fusion rings via Tannaka duality
hep-th, cond-mat.str-el, math.QA
Submitted: 2026-10-05
Updated: 2026-10-05
Comments: 69 pages + appendices, 5 figures, Mathematica notebooks included as ancillary files
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Sources
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- Generalized Global Symmetries
- On finite symmetries and their gauging in two dimensions
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- Anomalies of $(1+1)D$ categorical symmetries
- Remarks on Boundaries, Anomalies, and Noninvertible Symmetries
- Topological field theories and symmetry protected topological phases with fusion category symmetries
- Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
- Symmetry protected topological orders and the group cohomology of their symmetry group
- Classifying quantum phases using Matrix Product States and PEPS
- Lattice Models for Phases and Transitions with Non-Invertible Symmetries
- Cluster state as a non-invertible symmetry protected topological phase
- Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation
- 1+1d SPT phases with fusion category symmetry: interface modes and non-abelian Thouless pump
- Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry
- Classification of Thouless pumps with non-invertible symmetries and implications for Floquet phases
- Categorical Symmetries in Spin Models with Atom Arrays
- Topological Defect Lines and Renormalization Group Flows in Two Dimensions
- Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
- On Triality Defects in 2d CFT
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