From effective Hamiltonian to anomaly inflow in topological orders with boundaries

Understand

Whether two boundary conditions of a two-dimensional topological order can be continuously connected without a phase transition in between remains a challenging question.

• We tackle this challenge by constructing an effective Hamiltonian, describing anyon interaction, that realizes such a continuous deformation.
• At any point along the deformation, the model remains a fixed point model describing a gapped topological order with gapped boundaries.
• That the deformation retains the gap is due to the anomaly cancelation between the boundary and bulk.