Speaker
Description
Topological orders in three spatial dimensions and beyond can support spatially extended excitations, such as loops and membranes. These excitations give rise to exotic topological phenomena that have no direct counterparts in two-dimensional anyon systems. In this talk, I will give an overview of recent progress on higher-dimensional topological order, with a focus on continuum topological field theory, diagrammatic representations, and microscopic lattice constructions. I will discuss how field-theoretical data such as fusion, shrinking, and braiding can be formulated in field theory, represented by diagrammatics, and, in certain cases, realized explicitly in microscopic models. The most recent reference along this line is arXiv:2512.21148.