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.
Foliated Field Theory and String-Membrane- Net Condensation Picture of Fracton Order
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Compactification of a single higher-dimensional hypergraph-product fracton model yields a broad family of translation-invariant quantum LDPC codes that includes fracton models and all A2BGA codes such as BB codes.
Spatially modulated symmetries arise from gauging ordinary symmetries under generalized LSM anomalies, with explicit lattice models in 2D and 3D plus field-theoretic descriptions in arbitrary dimensions that connect to higher-group structures.
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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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Translation-invariant quantum low-density parity-check codes from compactified fracton models
Compactification of a single higher-dimensional hypergraph-product fracton model yields a broad family of translation-invariant quantum LDPC codes that includes fracton models and all A2BGA codes such as BB codes.
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Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies
Spatially modulated symmetries arise from gauging ordinary symmetries under generalized LSM anomalies, with explicit lattice models in 2D and 3D plus field-theoretic descriptions in arbitrary dimensions that connect to higher-group structures.