Categories in the toric code model (II)
Organizer
Speaker
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.