Lieb-Schultz-Mattis anomalies as obstructions to gauging - VIRTUAL
APA
Seifnashri, S. (2023). Lieb-Schultz-Mattis anomalies as obstructions to gauging - VIRTUAL. Perimeter Institute. https://pirsa.org/23100119
MLA
Seifnashri, Sahand. Lieb-Schultz-Mattis anomalies as obstructions to gauging - VIRTUAL. Perimeter Institute, Oct. 31, 2023, https://pirsa.org/23100119
BibTex
@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}} }
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