[NCTS Seminar] Lattice Translation Modulated Symmetries and TFTs

• Event Date: 2026-03-04
• Wu, Min-Pei 吳旻蓓
• Condensed Matter and Materials Physics Strongly correlated condensed matter and cold atom systems
• Speaker: Mr. Ching-Yu Yao (University of Tokyo)  /  Host: Prof. Chang-Tse Hsieh
  Place: NCTS Physics 4F Lecture Hall, Cosmology Hall, NTU

Title: Lattice Translation Modulated Symmetries and TFTs
Speaker: Mr. Ching-Yu Yao (Department of Physics and Institute for Solid State Physics, University of Tokyo)
Time: 14:20-16:00, March 4 (Wed), 2026
Place: NCTS Physics Lecture Hall, 4F, Cosmology Hall, NTU

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Abstract
Modulated symmetries are internal symmetries that are not invariant under spacetime symmetry actions. 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 general 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. This talk will be based on the preprint [arXiv:2510.03889].