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.
Pretko ,\ 10.1103/PhysRevB.96.125151 journal journal Phys
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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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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.