281 citations · 2.5k across the 47 of their papers we have counts for
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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…
On gapped boundaries for SPT phases beyond group cohomology
Ryohei Kobayashi, Kantaro Ohmori, Yuji Tachikawa
We discuss a strategy to construct gapped boundaries for a large class of symmetry-protected topological phases (SPT phases) beyond group cohomology. This is done by a generalizati…
Tunneling Topological Vacua via Extended Operators: (Spin-)TQFT Spectra and Boundary Deconfinement in Various Dimensions
Juven Wang, Kantaro Ohmori, Pavel Putrov +6
Distinct quantum vacua of topologically ordered states can be tunneled into each other via extended operators. The possible applications include condensed matter and quantum cosmol…