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arXiv · 2509.22051

From gauging to duality in one-dimensional quantum lattice models

Bram Vancraeynest-De Cuiper·José Garre-Rubio·Frank Verstraete·Kevin Vervoort·Dominic J. Williamson·Laurens Lootens
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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.

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Bram Vancraeynest-De Cuiper, José Garre-Rubio, Frank Verstraete, Kevin Vervoort, Dominic J. Williamson, Laurens Lootens. 2025-09-26. From gauging to duality in one-dimensional quantum lattice models. https://doi.org/10.21468/scipostphys.20.4.113

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