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arXiv · 2310.12610

Fracton gauge fields from higher-dimensional gravity

Francisco Peña-Benítez·Patricio Salgado-Rebolledo
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Abstract

We show that the fractonic dipole-conserving algebra can be obtained as an Aristotelian (and pseudo-Carrollian) contraction of the Poincar\'e 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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Francisco Peña-Benítez, Patricio Salgado-Rebolledo. 2023-10-19. Fracton gauge fields from higher-dimensional gravity. https://arxiv.org/abs/2310.12610

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