Generalized Symmetry and Topology
This course examines the relationship between generalized symmetries in quantum field theory and topological structures. We will cover cohomology and cobordism as foundational tools, focusing on recent developments regarding non-invertible global symmetries relevant to the Standard Model.
Lecturer
Date
4th March ~ 20th May, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday | 13:30 - 16:55 | A3-3-201 | ZOOM 03 | 242 742 6089 | BIMSA |
Reference
1. Davide Gaiotto, Anton Kapustin, Nathan Seiberg, and Brian Willett, Generalized Global Symmetries, arXiv:1412.5148
2. Yichul Choi, Ho Tat Lam, and Shu-Heng Shao, Non-invertible Global Symmetries in the Standard Model, arXiv:2205.05086
3. Pavel Putrov and Juven Wang, Categorical Symmetry of the Standard Model from Gravitational Anomaly, arXiv:2302.14862
4. T. Daniel Brennan, Sungwoo Hong, Introduction to Generalized Global Symmetries in QFT and Particle Physics, arXiv:2306.00912
5. Sakura Schäfer-Nameki: ICTP Lectures on (Non-)Invertible Generalized Symmetries, arXiv:2305.18296
6. Shu-Heng Shao: What’s Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetry, arXiv:2308.00747
2. Yichul Choi, Ho Tat Lam, and Shu-Heng Shao, Non-invertible Global Symmetries in the Standard Model, arXiv:2205.05086
3. Pavel Putrov and Juven Wang, Categorical Symmetry of the Standard Model from Gravitational Anomaly, arXiv:2302.14862
4. T. Daniel Brennan, Sungwoo Hong, Introduction to Generalized Global Symmetries in QFT and Particle Physics, arXiv:2306.00912
5. Sakura Schäfer-Nameki: ICTP Lectures on (Non-)Invertible Generalized Symmetries, arXiv:2305.18296
6. Shu-Heng Shao: What’s Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetry, arXiv:2308.00747
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
I obtained my Bachelor's and Ph.D. degrees from the University of Science and Technology of China. Before my current position as an assistant professor at BIMSA, I was a postdoc at Yau Mathematical Sciences Center, Tsinghua University. My research interests lie in using topological methods (cobordism) to study theoretical physics (anomaly).