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2023

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

Inamura, Kansei, Ohmori, Kantaro

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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.
The construction of these models generalizes the construction of the 1+1d anyon chains formalized by Aasen, Fendley, and Mong.

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

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