Non-invertible Symmetry in Nature

by Prof. Shu-Heng Shao (Stony Brook University)

Friday 26 May 2023, 08:00 → 09:00 Asia/Shanghai

In massless QED, we find that the classical U(1) chiral symmetry is not completely broken by the Adler-Bell-Jackiw anomaly. Rather, it is resurrected as a generalized global symmetry labeled by the rational numbers. Intuitively, this new global symmetry in QED is a composition of the naive axial rotation and a fractional quantum Hall state. The conserved symmetry operators do not obey a group multiplication law, but a non-invertible fusion algebra. We further generalize our construction to QCD, and show that the neutral pion decay can be derived from a matching condition of the non-invertible global symmetry. Finally, we find a non-invertible Gauss law in axion-Maxwell theory.

Bio:
Shu-Heng Shao is an assistant professor at the C.N. Yang Institute for Theoretical Physics (YITP) at Stony Brook University. He received  a Ph.D. in Physics from Harvard University in 2016. Before joining Stony Brook in 2021, he was a five-year postdoctoral researcher at the Institute for Advanced Study (IAS), Princeton from 2016 to 2021.

Zoom Meeting:
https://cern.zoom.us/j/96357968034?pwd=K2REeGF0V2dqOElRd09hVGVRcDk4Zz09

Zoom：963 5796 8034
pwd：125125

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