Fusion surface models: 2+1d lattice models from fusion 2-categories - VIRTUAL

We will discuss a systematic way to construct (2+1)-dimensional lattice models with finite generalized symmetries described by fusion 2-categories. These models are 2+1d analogues of the 1+1d anyon chain models and are dubbed fusion surface models. Examples of fusion 2-categories include modular tensor 1-categories, which describe symmetries of topological orders. We argue that the fusion surface models with such symmetries can be potential candidates for chiral topological phases on the lattice.

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