Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization

Yidun Wan constructs Hamiltonians that connect parent and condensed string-net models to describe bosonic anyon condensation in topological phases. The framework classifies possible condensations and identifies the degrees of freedom of the resulting models. Its microscopic categorical description refines the usual modular-tensor-category perspective and gives algorithms for calculating the categorical quantities through physical model data.