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cond-mat.str-el2023★ 4 cited
2+1D symmetry-topological-order from local symmetric operators in 1+1D
Kansei Inamura, Xiao-Gang Wen
A generalized symmetry (defined by the algebra of local symmetric operators) can go beyond group or higher group description. A theory of generalized symmetry (up to holo-equivalen…
cond-mat.str-el2023★ 44 cited
Fusion Surface Models: 2+1d Lattice Models from Fusion 2-Categories
Kansei Inamura, Kantaro Ohmori
We construct (2+1)-dimensional lattice systems, which we call fusion surface models. These models have finite non-invertible symmetries described by general fusion 2-categories. Ou…