4 papers
On the structure of categorical duality operators
Corey Jones, Xinping Yang
We systematically study categorical duality operators on spin (and anyon) chains with respect to an internal fusion category symmetry C. We parameterize duality operators on the qu…
Boundary topological orders of (4+1)d fermionic SPT states
Meng Cheng, Juven Wang, Xinping Yang
We investigate (3+1)d topological orders in fermionic systems with an anomalous symmetry, where its subgroup is the fermi…
Gauging non-invertible symmetries on the lattice
Sahand Seifnashri, Shu-Heng Shao, Xinping Yang
We provide a general prescription for gauging finite non-invertible symmetries in 1+1d lattice Hamiltonian systems. Our primary example is the Rep(D) fusion category generated…
Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry
Chenqi Meng, Xinping Yang, Tian Lan +1
We investigate (1+1)d symmetry-protected topological (SPT) phases with fusion category symmetries. We emphasize that the UV description of an anomaly-free fusion category symmetry…