From gauging to duality in one-dimensional quantum lattice models
Strongly Correlated Electrons
2026-04-21 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensional quantum lattice models. This is demonstrated by making use of matrix product operators, which provide the lattice representation theory for global (categorical) symmetries as well as a classification of duality transformations. Our construction makes the symmetries of the gauged theory manifest and clarifies how to deal with static background fields when gauging generalised symmetries.
Cite
@article{arxiv.2509.22051,
title = {From gauging to duality in one-dimensional quantum lattice models},
author = {Bram Vancraeynest-De Cuiper and José Garre-Rubio and Frank Verstraete and Kevin Vervoort and Dominic J. Williamson and Laurens Lootens},
journal= {arXiv preprint arXiv:2509.22051},
year = {2026}
}