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Fractonic Matter in Symmetry-Enriched U(1) Gauge Theory

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arxiv 1809.10275 v2 pith:ESOSQH3D submitted 2018-09-27 cond-mat.str-el hep-thquant-ph

classification cond-mat.str-elhep-thquant-ph
keywords gaugeenrichedfractonicglobalmattermobilityphasessymmetries
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In this work we explore the interplay between global symmetry and the mobility of quasiparticle excitations. We show that fractonic matter naturally appears in a three dimensional U(1) gauge theory, enriched by global U(1) and translational symmetries, via the mechanism of anyonic spin-orbital coupling. We develop a systematic understanding of such symmetry-enforced mobility restrictions in terms of the classification of U(1) gauge theories enriched by U(1) and translational symmetries. We provide a unified construction of these phases by gauging layered symmetry-protected topological phases.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Electric Circuit Realizations of Fracton Physics

    cond-mat.str-el 2019-08 conditional novelty 7.0 of 10

    Networks of capacitors connected by ideal transformers conserve dipole moment, making electric charge immobile like fractons, with a linear steady-state charge profile.

  2. Anisotropic layer construction of anisotropic fracton models

    cond-mat.str-el 2019-08 accept novelty 5.0 of 10

    A coupled-layer construction from stacked 2D toric codes produces an exactly solvable anisotropic fracton model with lineon and planon excitations.

  3. Notes from the bulk

    hep-th 2025-07 conditional novelty 4.0 of 10

    A boundary-QFT analysis shows that curved bulk metrics create local edge velocities in topological models and that fracton and linearized-gravity theories carry Kac-Moody boundary algebras.

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