Abstract
We show that the fractonic dipole-conserving algebra can be obtained as an Aristotelian (and pseudo-Carrollian) contraction of the Poincaré algebra in one dimension higher. Such contraction allows to obtain fracton electrodynamics from a relativistic higher-dimensional theory upon dimensional reduction. The contraction procedure produces several scenarios including the some of the theories already discussed in the literature. A curved space generalization is given, which is gauge invariant when the Riemann tensor of the background geometry is harmonic.
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Acknowledgments
We thank E. Bergshoeff, G. Palumbo, O. Castillo-Felisola for enlightening comments and discussions. F. P.-B. acknowledges the Nordita Institute for hospitality while attending the workshop “Hydrodynamics at all scales”. This work has been funded by the Norwegian Financial Mechanism 2014-2021 via the Narodowe Centrum Nauki (NCN) POLS grant 2020/37/K/ST3/03390.
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Peña-Benítez, F., Salgado-Rebolledo, P. Fracton gauge fields from higher-dimensional gravity. J. High Energ. Phys. 2024, 9 (2024). https://doi.org/10.1007/JHEP04(2024)009
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DOI: https://doi.org/10.1007/JHEP04(2024)009