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We found structural similarities between supersymmetric quiver gauge theories and lattice models, revealing new insights into fracton phases of matter. These theories exhibit unique properties like subsystem symmetries and restricted excitation mobility.

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Area of Science:

  • Theoretical Physics
  • Condensed Matter Physics
  • High Energy Physics

Background:

  • Supersymmetric quiver gauge theories are complex theoretical frameworks.
  • Fracton phases of matter represent exotic states with topological order.
  • Understanding connections between different theoretical domains is crucial for scientific advancement.

Purpose of the Study:

  • To explore structural analogies between supersymmetric quiver gauge theories and lattice models.
  • To investigate the emergence of fracton phases of matter from these analogies.
  • To identify key characteristics of these models, such as subsystem symmetries and excitation mobility.

Main Methods:

  • Analysis of structural similarities between specific classes of quiver models and lattice models.
  • Identification of shared properties including subsystem symmetries and moduli space dimensions.
  • Conceptualization of 'excitations' and 'mobility' within the context of these theoretical frameworks.

Main Results:

  • Demonstrated that certain quiver models can be interpreted as lattice models.
  • Identified the presence of subsystem symmetries in these analogous models.
  • Observed that the dimensions of moduli spaces scale linearly with lattice size, and excitations exhibit limited mobility.

Conclusions:

  • Structural analogies provide a novel perspective on fracton phases of matter.
  • Quiver gauge theories offer a potential framework for realizing and studying fracton physics.
  • The identified properties suggest a rich landscape for future theoretical and potentially experimental investigations.