ShuHeng Shao
Research Interests
ShuHeng Shao explores the structural aspects of quantum field theories and lattice systems. Recently, his research has centered on generalized symmetries and anomalies, with a particular focus on a novel type of symmetry without an inverse, referred to as noninvertible symmetries. These new symmetries have been identified in various quantum systems, including the Ising model, YangMills theories, lattice gauge theories, and the Standard Model. They lead to new constraints on renormalization group flows, new conservation laws, and new organizing principles in classifying phases of quantum matter.
Biographical Sketch
ShuHeng Shao was born and raised in Taiwan. He obtained his B.S. in physics from National Taiwan University in 2010, and his Ph.D. in physics from Harvard University in 2016, under the direction of Prof. Xi Yin. He was then a 5year longterm member at the Institute for Advanced Study in Princeton before he moved to the Yang Institute for Theoretical Physics at Stony Brook University as an assistant professor in 2021. In 2024, he joined the MIT faculty.
Awards & Honors
 2023 // Simons Collaboration on UltraQuantum Matter
 2023 // Frontiers of Science Award
 2021 // National Science Foundation Award
 2017 // New World Mathematics Award
Key Publications

Yichul Choi, Matthew Forslund, Ho Tat Lam, ShuHeng Shao, “Quantization of AxionGauge Couplings and Noninvertible Higher Symmetries”, Phys.Rev.Lett 132 (2024) 12, 121601

Nathan Seiberg, ShuHeng Shao, “Majorana chain and Ising model — (noninvertible) translations, anomalies, and emanant symmetries”, SciPost Phys. 16 (2024) 064

Yichul Choi, Ho Tat Lam, ShuHeng Shao, “Noninvertible Global Symmetries in the Standard Model”, Phys.Rev.Lett. 129 (2022) 16, 161601

Konstantinos Roumpedakis, Sahand Seifnashri, ShuHeng Shao, “Higher Gauging and Noninvertible Condensation Defects”, Commun.Math.Phys 401 (2023) 3, 30433107

ChiMing Chang, YingHsuan Lin, ShuHeng Shao, Yifan Wang, Xi Yin, “Topological Defect Lines and Renormalization Group Flows in Two Dimensions”, JHEP 01 (2019) 026