From gauging to duality in one-dimensional quantum lattice models

SciPost Physics 2026 Open access

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Authors: Bram Vancraeynest-De Cuiper, José Garre-Rubio, Frank Verstraete, Kevin Vervoort, Dominic J. Williamson, Laurens Lootens
DOI: 10.21468/scipostphys.20.4.113
Cited by: 1
References: 140

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.

Fields of Study & Subjects

Quantum many-body systems Topological Materials and Phenomena Algebraic structures and combinatorial models

Publication details

Journal / source
SciPost Physics
Publisher
Stichting SciPost
Volume
20
Issue
4
Publication date
15 April 2026
Language
EN