From gauging to duality in one-dimensional quantum lattice models, by Bram Vancraeynest-De Cuiper, José Garre-Rubio, Frank Verstraete, Kevin Vervoort, Dominic J. Williamson, Laurens Lootens
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SciPost Physics Home Authoring Refereeing Submit a manuscript About 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 SciPost Phys. 20, 113 (2026) · published 15 April 2026 doi: 10.21468/SciPostPhys.20.4.113 pdf BiBTeX RIS Submissions/Reports 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. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhys.20.4.113TI - From gauging to duality in one-dimensional quantum lattice modelsPY - 2026/04/15UR - https://scipost.org/SciPostPhys.20.4.113JF - SciPost PhysicsJA - SciPost Phys.VL - 20IS - 4SP - 113A1 - Vancraeynest-De Cuiper, BramAU - Garre-Rubio, JoséAU - Verstraete, FrankAU - Vervoort, KevinAU - Williamson, Dominic J.AU - Lootens, LaurensAB - 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.ER - × @Article{10.21468/SciPostPhys.20.4.113, 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={SciPost Phys.}, volume={20}, pages={113}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhys.20.4.113}, url={https://scipost.org/10.21468/SciPostPhys.20.4.113},} Ontology / Topics See full Ontology or Topics database. Anyonic chains Dualities Entanglement Gauge symmetry Global symmetries Tensor networks Topological quantum field theories (TQFT) Authors / Affiliations: mappings to Contributors and Organizations See all Organizations. 1 Bram Vancraeynest-De Cuiper, 2 3 José Garre-Rubio, 1 4 Frank Verstraete, 1 Kevin Vervoort, 5 Dominic J. Williamson, 4 Laurens Lootens 1 Universiteit Gent / Ghent University 2 Universität Wien / University of Vienna 3 Instituto de Física Teórica / Institute for Theoretical Physics [IFT] 4 University of Cambridge 5 University of Sydney [USYD] Funders for the research work leading to this publication Australian Research Council [ARC] Austrian Science Fund (FWF) (through Organization: Fonds zur Förderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF]) Engineering and Physical Sciences Research Council [EPSRC] Fonds Wetenschappelijk Onderzoek (FWO) (through Organization: Fonds voor Wetenschappelijk Onderzoek - Vlaanderen / Research Foundation - Flanders [FWO]) Horizon 2020 (through Organization: European Commission [EC]) UK Research and Innovation