Point-group symmetry enriched topological orders
Organizers
Speaker
Zhaoyang Ding
Time
Tuesday, May 13, 2025 9:45 AM - 11:30 AM
Venue
A3-2-301
Online
Zoom 468 248 1222
(BIMSA)
Abstract
The 2D bosonic topological orders enriched by point-group symmetry is an open question for several years. In this talk, I will introduce a systematic treatment to classify those phases. Firstly, I will show that the enrichment of the point-group symmetries is fully encoded at the mirror axes and the rotational center, which can be transformed into boundaries and a junction between boundaries by the folding approach. Then, I will introduce the classification theory of symmetric gapped boundaries and a framework for classifying symmetric gapped junctions between boundaries. I will also show that these results are consistent with the crystalline equivalence principle. This talk is based on the work arXiv:2502.11106 joint with Yang Qi.