Computing data for Levin-Wen with defects

Understand

We demonstrate how to do many computations for non-chiral topological phases with defects.

• These defects may be 1-dimensional domain walls or 0-dimensional point defects.
• Using $\operatorname{Vec}(S_3)$ as a guiding example, we demonstrate how domain wall fusion and associators can be computed using generalized tube algebra techniques.
• These domain walls can be both between distinct or identical phases.