The boundary phase transitions of the 2+1D ℤN topological order via topological Wick rotation

A bstract In this work, we show that a critical point of 1d self-dual boundary phase transition between two gapped boundaries the ℤ N topological order can be described by mathematical structure called an enriched fusion category. The viewed as gappable non-chiral gapless order. theory 2d orders developed Kong and Zheng (arXiv:1905.04924 arXiv:1912.01760) tells us all macroscopic observables on form unitary category, which obtained holographic principle “topological Wick rotation.” Using method, obtain category describes e -condensed m To verify idea, also construct lattice model to realize recover data construction further shows categorical symmetry is determined defects in bulk, indicates indirectly. This work shows, concrete example, 2+1D powerful tool study general transitions.