## Video URL

http://pirsa.org/23050025# Lieb-Schultz-Mattis, ’t Hooft and Luttinger: anomalies in lattice systems

### APA

Cheng, M. (2023). Lieb-Schultz-Mattis, ’t Hooft and Luttinger: anomalies in lattice systems. Perimeter Institute for Theoretical Physics. http://pirsa.org/23050025

### MLA

Cheng, Meng. Lieb-Schultz-Mattis, ’t Hooft and Luttinger: anomalies in lattice systems. Perimeter Institute for Theoretical Physics, May. 23, 2023, http://pirsa.org/23050025

### BibTex

@misc{ scivideos_PIRSA:23050025, doi = {}, url = {http://pirsa.org/23050025}, author = {Cheng, Meng}, keywords = {Quantum Matter}, language = {en}, title = {Lieb-Schultz-Mattis, {\textquoteright}t Hooft and Luttinger: anomalies in lattice systems}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2023}, month = {may}, note = {PIRSA:23050025 see, \url{https://scivideos.org/index.php/PIRSA/23050025}} }

Meng Cheng Yale University

## Abstract

Macroscopic physics of a quantum many-body systems on a lattice is commonly captured by a continuum field theory. We will discuss the interplay between lattice effects and continuum theory from the perspective of symmetry and ’t Hooft anomalies. In the first part of the talk, using the example of a spin-1/2 XXZ chain, we will show how the continuum limit of a lattice model is properly described in terms of a field theory with topological defects. In particular, anomaly explains a curious size dependence of the ground state momentum in the XXZ chain. In the second part, we will examine U(1) filling anomaly for subsystem symmetries. With a generalized flux-insertion argument, we derive nontrivial constraints on the mobility of excitations in a symmetry-preserving gapped phase.

Zoom link: https://pitp.zoom.us/j/96117447396?pwd=QVNaSHdHeDh1RENvenRjamVlVGNudz09