Topological defects on the lattice
This course introduces topological defects in two-dimensional classical lattice models and quantum chains. The defects satisfy local commutation relations guaranteeing that the partition function is independent of their path. These relations and their solutions are extended to allow defect lines to fuse, branch and satisfy all the properties of a fusion category. It is shown how the two-dimensional classical lattice models and their topological defects are naturally described by boundary conditions of a Turaev-Viro-Barrett-Westbury partition function. These defects allow Kramers-Wannier duality to be generalized to a large class of models, explaining exact degeneracies between non-symmetry-related ground states as well as in the low-energy spectrum.
讲师
日期
2021年09月17日 至 11月26日
参考资料
1) https://arxiv.org/abs/1601.07185
2) https://arxiv.org/abs/2008.08598
2) https://arxiv.org/abs/2008.08598
视频公开
不公开
笔记公开
不公开
讲师介绍
副教授，研究方向为弦理论、量子场论和拓扑场论。