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More Exotic Field Theories in 3+1 Dimensions
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We continue the exploration of nonstandard continuum field theories related to fractons in 3+1 dimensions. Our theories exhibit exotic global and gauge symmetries, defects with restricted mobility, and interesting dualities. Depending on the model, the defects are the probe limits of either fractonic particles, strings, or strips. One of our models is the continuum limit of the plaquette Ising lattice model, which features an important role in the construction of the X-cube model.
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Cited by 2 Pith papers
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The Line, the Strip and the Duality Defect
The XY-plaquette model is claimed to possess a continuous SO(2) non-invertible duality symmetry at arbitrary coupling, realized by open condensation defects in its symmetry TFT.
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Exotic massive fermionic systems with huge vacuum degeneracy at boundaries
Adding a mass term to the ψ theory leaves a gapped bulk but generates a boundary flat band of Majorana zero modes, yielding ground state entropy proportional to the boundary area.
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