A covariant Maxwell-like fracton theory is constructed in 6D with a symmetric tensor gauge field whose scalar gauge symmetry enforces charge and dipole conservation, restricting isolated charges to immobility.
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L_infinity extensions of Galilean, Newton-Hooke and static algebras produce infinite towers of p-form fields that couple to torsionful non-Lorentzian gravities and yield WZW terms for (p-1)-branes via doubled coordinates.
The peak-valley mechanism organizes strong Hilbert space fragmentation in 1D spin chains by assigning emergent good quantum numbers to the heights and depths of peaks and valleys.
A rank-4 tensor gauge theory yields emergent fracton strings with a new generalised dipole conservation law for closed strings and reduces to linearised area-metric gravity in a suitable limit.
The review summarizes evidence for a crossover to many-body localization in finite quantum systems like the XXZ model and notes its potential link to quantum computing.
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Covariant Fracton Electrodynamics in Six Dimensions
A covariant Maxwell-like fracton theory is constructed in 6D with a symmetric tensor gauge field whose scalar gauge symmetry enforces charge and dipole conservation, restricting isolated charges to immobility.
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$L_\infty$-algebraic extensions of non-Lorentzian kinematical Lie algebras, gravities, and brane couplings
L_infinity extensions of Galilean, Newton-Hooke and static algebras produce infinite towers of p-form fields that couple to torsionful non-Lorentzian gravities and yield WZW terms for (p-1)-branes via doubled coordinates.
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Peak-valley mechanism for Hilbert space fragmentation
The peak-valley mechanism organizes strong Hilbert space fragmentation in 1D spin chains by assigning emergent good quantum numbers to the heights and depths of peaks and valleys.
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Emergent fracton strings from covariant bi-form gauge field theory
A rank-4 tensor gauge theory yields emergent fracton strings with a new generalised dipole conservation law for closed strings and reduces to linearised area-metric gravity in a suitable limit.
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Many-body localization
The review summarizes evidence for a crossover to many-body localization in finite quantum systems like the XXZ model and notes its potential link to quantum computing.