A discretized higher-rank gauge theory on a square lattice produces a classical Ising fracton spin liquid with preserved tensor Gauss law, but quantum perturbations induce severe Hilbert space fragmentation that blocks fractonic quantum dynamics.
Xu, Gapless bosonic excitation without symmetry breaking: An algebraic spin liquid with soft gravitons, Phys
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Derives two types of gapless edge modes (fractonic and non-fractonic) plus a current algebra for a 2D fractonic system with constrained multipole mobility, analogous to fractional quantum Hall phases.
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Classical fracton spin liquid and Hilbert space fragmentation in a 2D spin-$1/2$ model
A discretized higher-rank gauge theory on a square lattice produces a classical Ising fracton spin liquid with preserved tensor Gauss law, but quantum perturbations induce severe Hilbert space fragmentation that blocks fractonic quantum dynamics.
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Fractons on the edge
Derives two types of gapless edge modes (fractonic and non-fractonic) plus a current algebra for a 2D fractonic system with constrained multipole mobility, analogous to fractional quantum Hall phases.