In Z2 topological order enriched by subsystem symmetries, mobility classes obey multi-channel fusion algebras including Fibonacci rules, tensor products thereof, and lineon period transmutation.
Chamon, Quantum glassiness in strongly correlated clean systems: An example of topological overprotection, 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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Fusion Rules of Mobility
In Z2 topological order enriched by subsystem symmetries, mobility classes obey multi-channel fusion algebras including Fibonacci rules, tensor products thereof, and lineon period transmutation.
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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.