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More Exotic Field Theories in 3+1 Dimensions

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arxiv 2007.04904 v2 pith:I6BBDT5Z submitted 2020-07-09 cond-mat.str-el hep-th

classification cond-mat.str-elhep-th
keywords modeltheoriescontinuumdefectsdimensionsexoticfieldconstruction
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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

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Line, the Strip and the Duality Defect

    hep-th 2026-02 unverdicted novelty 7.0 of 10

    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.

  2. Exotic massive fermionic systems with huge vacuum degeneracy at boundaries

    hep-th 2025-01 conditional novelty 6.0 of 10

    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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