Speaker: Luisa Eck (Oxford)
Title: Dualities between 2+1d fusion surface models from braided fusion categories
Abstract: Fusion surface models generalize the concept of anyon chains to 2+1 dimensions. Constructing them from a braided fusion category gives rise to lattice models with categorical 1-form symmetries. In this talk, I will discuss bond-algebraic dualities in these systems, showing that distinct module tensor categories over the same input braided fusion category lead to dual lattice models. This extends the well-known result that dualities in 1+1d anyon chains are classified by module categories over fusion categories. When the module tensor category differs from the input braided fusion category, the model can exhibit both 1-form and 0-form symmetries, including non-invertible ones. I will illustrate these ideas with two concrete examples: (i) a Rep(S3) model with a constrained Hilbert space, dual to the spin-1/2 XXZ model on the honeycomb lattice, and (ii) a bilayer Kitaev honeycomb model, dual to a spin-1/2 model with XXZ and Ising interactions. This balk is based on arXiv:2501.14722.
Note unusual time: 4 pm GMT