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Fracton gauge fields from higher-dimensional gravity
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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.
Forward citations
Cited by 2 Pith papers
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Scaling Symmetry and Carrollian Gravity
A single scaling-Carroll gauge-theory construction interpolates between dynamical Carroll gravity, Aristotelian gravity, and fracton gauge theories coupled to curved space.
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A conformal approach to matter coupled Aristotelian gravity
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.
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