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BIMSA-Tsinghua Quantum Symmetry Seminar
Fusion Rules of Edge Excitations in Topological Order
Fusion Rules of Edge Excitations in Topological Order
Organizers
Speaker
Time
Wednesday, May 29, 2024 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
We re-examine the issue of boundary excitations at topological boundaries or junction defects between different topological boundaries in nonchiral bosonic topological orders in 2+1 dimensions. Through physical reasoning, we derive a formula that connects the fusion rules of boundary excitations with the "half-linking" number between condensed anyons and confined boundary excitations. This formula serves as a direct analogue to the Verlinde formula. Additionally, we illustrate how these half-linking numbers can be calculated in specific Abelian and non-Abelian scenarios.
Speaker Intro
Ce Shen graduated from Fudan University in 2022. After working in Baidu as a senior researcher, he joined BIMSA as a postdoctoral research fellow in 2024. His research interests include quantum information and topological quantum field theories.