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Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory

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arxiv 2003.10466 v4 pith:BSO34WNM submitted 2020-03-23 cond-mat.str-el hep-th

Nathan Seiberg , Shu-Heng Shao This is my paper · ORCID
classification cond-mat.str-elhep-th
keywords fieldcontinuumquantumsystemstheoriesdimensionaldimensionsdiscuss
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We discuss nonstandard continuum quantum field theories in 2+1 dimensions. They exhibit exotic global symmetries, a subtle spectrum of charged excitations, and dualities similar to dualities of systems in 1+1 dimensions. These continuum models represent the low-energy limits of certain known lattice systems. One key aspect of these continuum field theories is the important role played by discontinuous field configurations. In two companion papers, we will present 3+1-dimensional versions of these systems. In particular, we will discuss continuum quantum field theories of some models of fractons.

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Cited by 4 Pith papers

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

  1. Supertranslations are Soft Dressings

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    Coherent-state dressings by zero-energy gravitons are equivalent to BMS supertranslations, and the associated conserved charge produces a universal, all-orders shift of the scattering impact parameter.

  2. Classical fractons with cosmological fixed points

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    In a special scale-invariant fracton Hamiltonian, late-time attractors reproduce the scale expansion, homogeneity, critical Newtonian dynamics, and arrow of time of a flat matter-dominated cosmology.

  3. 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.

  4. 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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