In this talk, I will discuss symmetries of four-dimensional gauge theories beyond the framework of group theory. A large class of N=2 superconformal field theories, which can be obtained from N=4 super Yang-Mills theory via orbifolding and then marginally deforming, enjoy a quantum deformation of the R-symmetry of the mother N=4 theory. The naively broken generators are not lost but upgraded to generators of a quantum groupoid, acting with a non-trivial co-product on a product of fields. We demonstrate that the Lagrangian is invariant and the spectrum organizes in representations of the quantum deformed SU(4) R-symmetry.

 




Bio 报告人简介：张欣宇博士，DESY博士后研究员，本科毕业于北京大学，2017年博士毕业于美国石溪大学物理系。科研工作主要集中于理论物理和数学物理方向，主要研究超对称理论的严格计算及其在数学上的应用。先后在JHEP、PRD、CMP等期刊上发布论文。

联系人：吴洁强