BIMSA >
BIMSA-Tsinghua量子对称讨论班
Defects and textures in topological orders with broken continuous symmetries
Defects and textures in topological orders with broken continuous symmetries
组织者
演讲者
Yuanming Lu
时间
2023年07月07日 10:30 至 12:00
地点
A3-2a-302
线上
Zoom 559 700 6085
(BIMSA)
摘要
We study the interplay of classical and quantum topology, in two-dimensional topological orders which spontaneously break continuous symmetries. In particular, we present a framework that addresses how the topologically ordered quantum ground states affect the universal properties of topological point defects and textures in the classical long range order. Mathematically, based on the long exact sequence of homotopy groups, we show how to classify universal properties of point defects and textures using the inflation-restriction exact sequence. We illustrate the framework using many examples, where point defects can permute anyons in the topological orders and/or exhibit a “defect fractionalization” phenomenon.
Reference: https://arxiv.org/abs/2211.13207
Reference: https://arxiv.org/abs/2211.13207