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Category and Topological Order Seminar
Category and Topological Order Seminar
Categories in the toric code model (I)
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
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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.