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Fractons, symmetric gauge fields and geometry

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arxiv 2107.13884 v2 pith:SEKKKTNY submitted 2021-07-29 cond-mat.str-el cond-mat.stat-mechgr-qchep-th

classification cond-mat.str-elcond-mat.stat-mechgr-qchep-th
keywords gaugefieldshigherchargesranksymmetricsystemsarbitrary
verification ladder T0 review T1 audit T2 compute T3 formal
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Gapless fracton phases are characterized by the conservation of certain charges and their higher moments. These charges generically couple to higher rank gauge fields. In this paper we study systems conserving charge and dipole moment, and construct the corresponding gauge fields propagating in arbitrary curved backgrounds. The relation between the symmetries of these class of systems and spacetime transformations is discussed. In fact, we argue that higher rank symmetric gauge theories are closer to gravitational fields than to a standard gauge theory.

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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. A Partially Massless Superconductor

    hep-th 2025-07 conditional novelty 8.0 of 10

    A covariant Higgs mechanism turns the partially massless graviton into a fully massive spin-2 field by condensing a fractonic matter field with dipole symmetry.

  2. A conformal approach to matter coupled Aristotelian gravity

    hep-th 2025-07 conditional novelty 7.0 of 10

    A conformal extension of the p-brane Aristotelian algebra is used to construct electric, magnetic, and electric-magnetic Aristotelian gravity actions and their matter couplings.

  3. Carroll fermions of arbitrary spin

    hep-th 2026-07 accept novelty 6.0 of 10

    Free massless fermions of arbitrary spin admit two inequivalent Carrollian (c→0) limits, electric and magnetic, derived from the Fang–Fronsdal actions, with the magnetic theory reducible to the projected relativistic ...

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