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Creators/Authors contains: "Zheng, Yunqin"

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  1. ; ; ; (, SciPost Physics)
    We explore exact generalized symmetries in the standard 2+1d lattice\mathbb{Z}_2 ℤ 2 gauge theory coupled to the Ising model, and compare them with their continuum field theory counterparts. One model has a (non-anomalous) non-invertible symmetry, and we identify two distinct non-invertible symmetry protected topological phases. The non-invertible algebra involves a lattice condensation operator, which creates a toric code ground state from a product state. Another model has a mixed anomaly between a 1-form symmetry and an ordinary symmetry. This anomaly enforces a nontrivial transition in the phase diagram, consistent with the “Higgs=SPT” proposal. Finally, we discuss how the symmetries and anomalies in these two models are related by gauging, which is a 2+1d version of the Kennedy-Tasaki transformation. 
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  2. ; ; ; (, Physical Review B)
  3. ; ; ; ; (, Physical Review B)
  4. ; ; ; ; ; (, Physical Review B)