Ce Shen - Fusion Rules of Edge Excitations in Topological Order

BIMSA-Tsinghua Quantum Symmetry Seminar
2024-05-29
Speaker: Ce Shen (BIMSA)
Title
Fusion Rules of Edge Excitations in Topological Order
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.
References:
doi.org/10.110...
arxiv.org/abs/...
Slides and video
bimsa.net/doc/...
bimsa.net/bims...
Speaker Introduction
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.
Speaker Homepage
bimsa.net/peop...
Webpage of the Quantum Symmetry Seminar
www.bimsa.cn/n...
Webpage of the talk
bimsa.net/talk...
Playlist of the Quantum Symmetry Seminar:
• BIMSA-Tsinghua Quantum...
• BIMSA-Tsinghua Quantum...