Abstract：

Symmetry is one of the guiding principles in physics. Recently, the concept of global symmetry has been generalized, encompassing higher form symmetry, subsystem symmetry and non-invertible symmetry. This generalization has profound applications in both quantum field theories and quantum spin systems. In the first part of my talk, I will briefly review this recent development and its applications in spin models, including my work on constructing non-invertible symmetries in models with subsystem symmetry and dipole symmetry. In the second part, I will focus on the symmetry protected topological (SPT) phases with non-invertible symmetry. I will give a general way to classify these new phases and construct the corresponding lattice models. There exist anomalous edge modes at the interface of two distinct SPT phases, which could serve as a potential way to detect these non-invertible symmetries.

Bio:

 After obtaining the bachelor degree from the School of Astronomy and Space Science at Nanjing University, I was enrolled in the          Physics department at the University of Tokyo in 2019. I was awarded the JSPS DC1 fellowship from the Japan Society for the Promotion of Science in 2021. In 2023, I visited Professor Shinsei Ryu’s group at Princeton University during the autumn semester. In September of 2024, I obtained the PhD degree from the University of Tokyo with the thesis titled “Duality and non-invertible symmetry in models with subsystem symmetry". Right now, I am a JSPS postdoc fellow at Kavli Institute for the Physics and Mathematics of the Universe, the University of Tokyo, working on theoretical aspects of quantum field theories and quantum spin chains.