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PIRSA:23100119

Video URL

https://pirsa.org/23100119

Lieb-Schultz-Mattis anomalies as obstructions to gauging - VIRTUAL

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

Sahand Seifnashri Institute for Advanced Study (IAS)

Talk numberPIRSA:23100119
DOI10.48660/23100119
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

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