Discovery of a New Phenomenon Where Translational Symmetry Can No Longer Be Restored

A research group consisting of Tsubasa Oishi and doctoral student Takuma Saito of the Yukawa Institute for Theoretical Physics, Kyoto University, and Hiromi Ebisu, Research Scientist at RIKEN, has revealed that in systems of arbitrary dimensions subject to the Lieb–Schultz–Mattis (LSM) constraint arising from the interplay between internal symmetry and translational symmetry, the operation known as gauging—which converts a global symmetry into a local one—causes the translational symmetry itself to transform into a non-invertible symmetry.

For further details, please see the Kyoto University press release.