Tue, May 12, 2026
1:50 pm - 2:45 pm
Math Tower (MW) 152
Ching-Yu Yao
University of Tokyo
Title
Lattice Translation Modulated Symmetries and TFTs
Abstract
Modulated symmetries are internal symmetries that are dependent to their position. Recent studies show that some of the symmetry-protected topological (SPT) phases fail to survive in the presence of the modulation. In this talk, I will generalize the discussion to the lattice translation modulated symmetries beyond invertible symmetries in 1+1D via the tensor network language. Although the topological behaviors are broken because of the presence of modulations, I will demonstrate how to construct the modulated version of the symmetry TFT bulks, and recover some known results in invertible cases.