3 papers
cond-mat.str-el2026
Parameterized families of 2+1d -cluster states
Shuhei Ohyama, Kansei Inamura
We construct a -cluster Hamiltonian in 2+1 dimensions and analyze its properties. This model exhibits a symmetry, where the sector r…
cond-mat.str-el2025
(2+1)d Lattice Models and Tensor Networks for Gapped Phases with Categorical Symmetry
Kansei Inamura, Sheng-Jie Huang, Apoorv Tiwari +1
Gapped phases in 2+1 dimensional quantum field theories with fusion 2-categorical symmetries were recently classified and characterized using the Symmetry Topological Field Theory…
cond-mat.str-el2021
Topological field theories and symmetry protected topological phases with fusion category symmetries
Kansei Inamura
Fusion category symmetries are finite symmetries in 1+1 dimensions described by unitary fusion categories. We classify 1+1d time-reversal invariant bosonic symmetry protected topol…