PIRSA:23100119 Scientific Series Condensed Matter

DOI10.48660/23100119

Series: Quantum Matter

Seifnashri, S. (2023). Lieb-Schultz-Mattis anomalies as obstructions to gauging - VIRTUAL. Perimeter Institute. https://pirsa.org/23100119

Seifnashri, Sahand. Lieb-Schultz-Mattis anomalies as obstructions to gauging - VIRTUAL. Perimeter Institute, Oct. 31, 2023, https://pirsa.org/23100119 

@misc{ pirsa_PIRSA:23100119,
  doi = {10.48660/23100119},
  url = {https://pirsa.org/23100119},
  author = {Seifnashri, Sahand},
  keywords = {Condensed Matter},
  language = {en},
  title = {Lieb-Schultz-Mattis anomalies as obstructions to gauging - VIRTUAL},
  publisher = {Perimeter Institute},
  year = {2023},
  month = {oct},
  note = {PIRSA:23100119 see, \url{https://pirsa.org}}
}

Abstract

In this talk, we identify anomalies of 1+1d lattice Hamiltonian systems as ’t Hooft anomalies. We consider anomalies in internal symmetries as well as Lieb-Schultz-Mattis (LSM) type anomalies involving lattice translations. Using topological defects, we derive a simple formula for the ‘anomaly cocycle’ and show it is the obstruction to gauging even on the lattice. We reach this by introducing a systematic procedure to gauge arbitrary internal symmetries on the lattice that may not act on-site. As a by-product of our gauging procedure, we construct non-invertible lattice translation symmetries from LSM anomalies.

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Zoom link https://pitp.zoom.us/j/98084408560?pwd=cllSVnpWcEhPK21aVDZubU4yYWNyQT09

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