From gauging to duality in one-dimensional quantum lattice models

2025/09/26 by Bram Vancraeynest-De Cuiper, Cuiper, Bram Vancraeynest-De, José Garre-Rubio +9 · 1 voice · 4 citations
Physics and Astronomy · #cond-mat.str-el #hep-th #math-ph

paper · pdf · doi:10.48550/arxiv.2509.22051

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.

Citations

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Cited by

• From Diamond Gaugings to Dualisations
• Non-abelian quantum double models from iterated gauging
• Continuum limit of gauged tensor network states
• T-duality and bosonization as examples of continuum gauging and disentangling

Discussions

• Gauging versus dualities: equivalent up to constant depth quantum circuits. arxiv.org/abs/2509.22051 [bsky, 14 points, 1 comments]

Related

• Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models
• Dualities in one-dimensional quantum lattice models: topological sectors
• Global symmetries of quantum lattice models under non-invertible dualities
• Non-abelian quantum double models from iterated gauging
• Gauging non-invertible symmetries on the lattice