A covariant higher-rank 3D BF gauge theory with matter produces fracton and lineon excitations and maps exactly onto the low-energy effective theory of the Rank-2 Toric Code.
Aspects Of Chern-Simons Theory
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Fractons from covariant higher-rank 3D BF theory
A covariant higher-rank 3D BF gauge theory with matter produces fracton and lineon excitations and maps exactly onto the low-energy effective theory of the Rank-2 Toric Code.