Gauging the 1-form symmetry in the X-Cube construction produces a web of relations to SPT phases with subsystem and higher-form symmetries plus subsystem symmetry fractionalization in the 3+1D toric code.
Radicevic, Systematic Constructions of Fracton Theories, arXiv e-prints , arXiv:1910.06336 (2019), arXiv:1910.06336 [cond-mat.str-el]
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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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There and Back Again: A Gauging Nexus between Topological and Fracton Phases
Gauging the 1-form symmetry in the X-Cube construction produces a web of relations to SPT phases with subsystem and higher-form symmetries plus subsystem symmetry fractionalization in the 3+1D toric code.
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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.