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$\mathcal{N}=4$ Super-Yang-Mills theory has played a key role in various recent developments in theoretical physics such as holography and conformal bootstrap. Due to its fundamental importance and internal simplicity, it is called the `hydrogen atom' of the 21st century. Intriguingly, it turns out to be integrable in the large $N$ limit and can be studied by integrability techniques such as the Yang-Baxter equation. In this talk, I will first explain how integrability, a typically lower dimensional phenomena, shows up in a 4d gauge theory and leads to a number of highly non-trivial exact results. I will then discuss more recent developments beyond the spectral problem, including non-perturbative approaches to compute the operator product expansion (OPE) coefficients. If time permits, I will also comment on developments in integrability in AdS/CFT beyond $\mathcal{N}=4$ SYM theory.
个人简介：
江云峰，东南大学丘成桐中心副研究员。2011年于中山大学获学士学位，2012年获巴黎高等师范学校（ENS Paris）硕士学位，2015年博士毕业于法国巴黎第六大学。此后分别在苏黎世联邦理工学院（ETH Zurich）以及欧洲核子中心（CERN）从事博士后研究工作。2021年起任副研究员。主要研究方向为可积系统、量子场论以及弦论。
Tecent Meeting:
https://meeting.tencent.com/dm/4HrI34SUdaEq
Meeting ID：637 313 613
