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Definition for statistics of invertible quasi-particles and extended excitations using operators on many-body Hilbert space

组织者

白岸斯 , 陈群皓 , 孔良 , 王亦龙 , 张智浩 , 郑浩

演讲者

Hanyu Xue

时间

2025年01月06日 13:30 至 16:00

地点

A3-3-201

线上

Zoom 518 868 7656 (BIMSA)

摘要

We develop a mathematical framework that generalizes the definition of statistics for Abelian anyons, based on string operators in many-body Hilbert space, to arbitrary dimensions of invertible topological excitations on arbitrary manifolds. This theory is rigorous, systematic, and provides a general framework for understanding and proving the properties of statistics. Additionally, we propose several conjectures that may hold mathematical interest. We also present a computer program for calculating statistics, which has yielded results consistent with predictions from other physical theories. The talk is based on 2412.07653.