Categories in the toric code model (I)
Organizer
Speaker
Time
Tuesday, October 26, 2021 1:30 PM - 3:00 PM
Venue
1131
Online
Tencent 684 262 693
()
Abstract
Category theory plays an important role in the study of topological orders. In this talk, I will biefly explain the notion of a topological order and why a topological order can be described by a (higher) category. The main idea will be illustrated by the toric code model, which is the simplest lattice model of a 2+1D topological order. I will explicitly calculate the point-like topological defects of the toric code model and show that they form a unitary modular tensor category. If time permits, I will also introduce the 3+1D toric code model and show that all topological defects of codimension-2 and higher form a braided fusion 2-category.