BIMSA > Category and Topological Order Seminar Category and Topological Order Seminar Categories in the toric code model (II)
Categories in the toric code model (II)
Organizer
Hao Zheng
Speaker
Zhihao Zhang
Time
Tuesday, November 2, 2021 1:30 PM - 3:00 PM
Venue
1131
Online
Tencent 570 783 003 ()
Abstract
Category theory plays an important role in the study of topological orders. In this talk, I will introduce two boundary theories of the toric code model as basic examples of the boundary-bulk relation. Mathematically, the boundary-bulk relation can be expressed by the notion of a Drinfeld center and a central functor, which will be explained by physical intuitions. The boundary-bulk relation also helps us to study the general domain walls between topological orders. I will show that all topological defects in the toric code model, including 1d domain walls and 0d defects, form a fusion 2-category.