By Kansei Inamura and 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. Our method can be applied to build microscopic models with, for example, anomalous or non-anomalous one-form symmetries, 2-group symmetries, or non-invertible one-form symmetries that capture non-abelian anyon statistics.... Show more

June 27, 2023

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Fusion Surface Models: 2+1d Lattice Models from Fusion 2-Categories

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